Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. a1 = 5, r = 3349views
Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. a1 = 20, r = 1/2345views
Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. an = - 4a_(n-1), a1 = 10248views
Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. an = - 4a_(n-1), a1 = 10248views
Textbook QuestionIn Exercises 1–8, write the first five terms of each geometric sequence. an = - 5a_(n-1), a1 = - 6296views
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 = 2389views
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 = - 2310views
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 = - 1/2252views
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 = 0.1344views
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, ...349views
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, ...349views
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, ...269views
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, ...432views
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, ...300views
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, ...420views
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, ...283views
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, ...252views
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, ...252views
Textbook QuestionIn Exercises 31–34, write the first five terms of each geometric sequence. a1 = 3, r = 2419views
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^i234views
Textbook QuestionIn Exercises 31–34, write the first five terms of each geometric sequence. a1 = 1/2, r = 1/2344views
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 = 3348views
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)373views
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 = 1/2580views
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. 1 + 1/3 + 1/9 + 1/27 + ...268views
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 = 2454views
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 = 2454views
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, ...300views
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. 3 + 3/4 + 3/4^2 + 3/4^3 + ...270views
Textbook QuestionFind the sum of the first 15 terms of the geometric sequence: 5, -15, 45, -135937views
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. 1 - 1/2 + 1/4 - 1/8 + ...327views
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. 1 - 1/2 + 1/4 - 1/8 + ...327views
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 formula524views
Textbook QuestionIn Exercises 37–44, find the sum of each infinite geometric series. ∞ Σ (i = 1) 8(- 0.3)^(i -- 1)266views
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 + ...372views
Textbook QuestionFind the sum of each infinite geometric series. 2 - 1 + 1/2 - 1/4 + ...556views1rank
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 + ...303views
Textbook QuestionIn Exercises 45–50, express each repeating decimal as a fraction in lowest terms. 0.257 ̅ (repeating 257)235views
Textbook QuestionExpress each repeating decimal as a fraction in lowest terms. 0.6 (repeating 6)330views
Textbook QuestionExpress each repeating decimal as a fraction in lowest terms. 0.6 (repeating 6)330views
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 + 5391views
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^n270views
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^n270views
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 + 5231views
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 + b10.248views
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}.210views
Textbook QuestionIn Exercises 63–64, find a2 and a3 for each geometric sequence. 8, a2, a3, 27576views
Textbook QuestionIn Exercises 63–64, find a2 and a3 for each geometric sequence. 2, a2, a3, - 54300views
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?234views
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?255views
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,...225views
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,…}.421views1rank
Multiple ChoiceFind the 10th10^{\th}10th term of the geometric sequence in which a1=5a_1=5a1=5 and r=2r=2r=2.249views
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=−3.248views