04:13Determine the Future Value of a Savings Annuity and Interest Earned (Monthly)Mathispower4u245views1rank
Multiple ChoiceWrite a recursive formula for the geometric sequence {18,6,2,23,…}\left\lbrace18,6,2,\frac23,\ldots\right\rbrace{18,6,2,32,…}.133views1rankHas a video solution.
Multiple ChoiceFind the 10th10^{\th}10th term of the geometric sequence in which a1=5a_1=5a1=5 and r=2r=2r=2.130viewsHas a video solution.
Multiple ChoiceWrite a formula for the general or nthn^{\th}nth term of the geometric sequence where a7=1458a_7=1458a7=1458 and r=−3r=-3r=−3.119viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. a1 = 5, r = 3259viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. a1 = 20, r = 1/2244viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. an = - 4a_(n-1), a1 = 10180viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. an = - 4a_(n-1), a1 = 10180viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. an = - 5a_(n-1), a1 = - 6204viewsHas a video solution.
Textbook QuestionIn Exercises 9–16, use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of each sequence with the given first term, a1 and common ratio, r. Find a8 when a1 = 6, r = 2280viewsHas a video solution.
Textbook QuestionIn Exercises 9–16, use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of each sequence with the given first term, a1 and common ratio, r. Find a12 when a1 = 5, r = - 2227viewsHas a video solution.
Textbook QuestionIn Exercises 9–16, use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of each sequence with the given first term, a1 and common ratio, r. Find a40 when a1 = 1000, r = - 1/2178viewsHas a video solution.
Textbook QuestionIn Exercises 9–16, use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of each sequence with the given first term, a1 and common ratio, r. Find a8 when a1 = 1 000 000, r = 0.1249viewsHas a video solution.
Textbook QuestionIn Exercises 17–24, write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for a_n to find a7, the seventh term of the sequence. 3, 12, 48, 192, ...237viewsHas a video solution.
Textbook QuestionIn Exercises 17–24, write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for a_n to find a7, the seventh term of the sequence. 3, 12, 48, 192, ...237viewsHas a video solution.
Textbook QuestionIn Exercises 17–24, write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for a_n to find a7, the seventh term of the sequence. 18, 6, 2, 2/3, ...198viewsHas a video solution.
Textbook QuestionIn Exercises 17–24, write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for a_n to find a7, the seventh term of the sequence. 1.5, - 3, 6, -12, ...287viewsHas a video solution.
Textbook QuestionIn Exercises 17–24, write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for a_n to find a7, the seventh term of the sequence. 0.0004, - 0.0004, 0.04, - 0.04, ...220viewsHas a video solution.
Textbook QuestionUse the formula for the sum of the first n terms of a geometric sequence to solve Exercises 25–30. Find the sum of the first 12 terms of the geometric sequence: 2, 6, 18, 54, ...278viewsHas a video solution.
Textbook QuestionUse the formula for the sum of the first n terms of a geometric sequence to solve Exercises 25–30. Find the sum of the first 11 terms of the geometric sequence: 3, - 6, 12, - 24, ...205viewsHas a video solution.
Textbook QuestionUse the formula for the sum of the first n terms of a geometric sequence to solve Exercises 25–30. Find the sum of the first 14 terms of the geometric sequence: - 3/2, 3, - 6, 12, ...166viewsHas a video solution.
Textbook QuestionUse the formula for the sum of the first n terms of a geometric sequence to solve Exercises 25–30. Find the sum of the first 14 terms of the geometric sequence: - 3/2, 3, - 6, 12, ...166viewsHas a video solution.
Textbook QuestionIn Exercises 31–34, write the first five terms of each geometric sequence. a1 = 3, r = 2289viewsHas a video solution.
Textbook QuestionIn Exercises 31–36, find the indicated sum. Use the formula for the sum of the first n terms of a geometric sequence. 8 Σ (i = 1) 3^i161viewsHas a video solution.
Textbook QuestionIn Exercises 31–34, write the first five terms of each geometric sequence. a1 = 1/2, r = 1/2229viewsHas a video solution.
Textbook QuestionIn Exercises 31–36, find the indicated sum. Use the formula for the sum of the first n terms of a geometric sequence. 10 Σ (i = 1) 5 · 2^i193viewsHas a video solution.
Textbook QuestionUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence. Find a(sub 7) when a(sub 1) = 2, r = 3264viewsHas a video solution.
Textbook QuestionIn Exercises 31–36, find the indicated sum. Use the formula for the sum of the first n terms of a geometric sequence. 6 Σ (i = 1) (1/2)^(i + 1)245viewsHas a video solution.
Textbook QuestionUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence. Find a(sub 6) when a(sub 1) = 16, r = 1/2342viewsHas a video solution.
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. 1 + 1/3 + 1/9 + 1/27 + ...183viewsHas a video solution.
Textbook QuestionUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence. Find a(sub 5) when a(sub 1) = -3, r = 2299viewsHas a video solution.
Textbook QuestionUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence. Find a(sub 5) when a(sub 1) = -3, r = 2299viewsHas a video solution.
Textbook QuestionWrite a formula for the general term (the nth term) of each geometric sequence. Then use the formula for a(sub n) to find a(sub 8), the eighth term of the sequence. 1, 2, 4, 8, ...223viewsHas a video solution.
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. 3 + 3/4 + 3/4^2 + 3/4^3 + ...181viewsHas a video solution.
Textbook QuestionFind the sum of the first 15 terms of the geometric sequence: 5, -15, 45, -135668viewsHas a video solution.
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. 1 - 1/2 + 1/4 - 1/8 + ...245viewsHas a video solution.
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. 1 - 1/2 + 1/4 - 1/8 + ...245viewsHas a video solution.
Textbook QuestionUse the formula for the sum of the first n terms of a geometric sequence to find the indicated sum. *sigma notation* i=1 start, 6 end, 5^i formula343viewsHas a video solution.
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. ∞ Σ (i = 1) 8(- 0.3)^(i -- 1)157viewsHas a video solution.
Textbook QuestionIn Exercises 45–50, express each repeating decimal as a fraction in lowest terms. 0.5 ̅ (repeating 5) = 5/10 + 5/100 + 5/1000 + 5/10,000 + ...258viewsHas a video solution.
Textbook QuestionFind the sum of each infinite geometric series. 2 - 1 + 1/2 - 1/4 + ...302views1rankHas a video solution.
Textbook QuestionIn Exercises 45–50, express each repeating decimal as a fraction in lowest terms. 0.47 ̅ (repeating 47) = 47/100 + 47/10,000 + 47/1,000,000 + ...203viewsHas a video solution.
Textbook QuestionFind the sum of each infinite geometric series. -6 + 4 - 8/3 + 16/9 - ...315viewsHas a video solution.
Textbook QuestionIn Exercises 45–50, express each repeating decimal as a fraction in lowest terms. 0.257 ̅ (repeating 257)168viewsHas a video solution.
Textbook QuestionExpress each repeating decimal as a fraction in lowest terms. 0.6 (repeating 6)253viewsHas a video solution.
Textbook QuestionExpress each repeating decimal as a fraction in lowest terms. 0.6 (repeating 6)253viewsHas a video solution.
Textbook QuestionIn Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. an = n + 5282viewsHas a video solution.
Textbook QuestionIn Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. an = 2^n192viewsHas a video solution.
Textbook QuestionIn Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. an = 2^n192viewsHas a video solution.
Textbook QuestionIn Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. an = n^2 + 5162viewsHas a video solution.
Textbook QuestionIn Exercises 57–62, let {a_n} = - 5, 10, - 20, 40, ..., {b_n} = 10, - 5, - 20, - 35, ..., {c_n} = - 2, 1, - 1/2, 1/4 Find a10 + b10.182viewsHas a video solution.
Textbook QuestionIn Exercises 57–62, let {a_n} = - 5, 10, - 20, 40, ..., {b_n} = 10, - 5, - 20, - 35, ..., {c_n} = - 2, 1, - 1/2, 1/4 Find the difference between the sum of the first 10 terms of {an} and the sum of the first 10 terms of {bn}.143viewsHas a video solution.
Textbook QuestionIn Exercises 63–64, find a2 and a3 for each geometric sequence. 8, a2, a3, 27410viewsHas a video solution.
Textbook QuestionIn Exercises 63–64, find a2 and a3 for each geometric sequence. 2, a2, a3, - 54202viewsHas a video solution.
Textbook QuestionExercises 88–90 will help you prepare for the material covered in the next section. Consider the sequence 1, −2, 4, −8, 16, ………. Find a2/a3, a1/a2, a4/a3 and a5/a4 What do you observe?168viewsHas a video solution.
Textbook QuestionExercises 88–90 will help you prepare for the material covered in the next section. Consider the sequence whose nth term is an = (3)5^n Find a2/a3, a1/a2, a4/a3 and a5/a4 What do you observe?177viewsHas a video solution.
Textbook QuestionExercises 88–90 will help you prepare for the material covered in the next section. Use the formula an = a₁3^(n-1) to find the seventh term of the sequence 11, 33, 99, 297,...151viewsHas a video solution.