In Exercises 15–22, find the indicated term of the arithmetic seq...

Question

In Exercises 15–22, find the indicated term of the arithmetic sequence with first term, and common difference, d. Find a60 when a₁ = 35, d = -3.

Accepted Answer

Hello. Today we are asked to find the 80th term of the arithmetic sequence using the given information. So in order to find any term with an arithmetic sequence, we need to use the general form of the end term of the arithmetic sequence. That equation is a sub N is equal to your first term which is a sub one plus the quantity and minus one time. Your common difference which is D. Now in the in the problem here we are told that ace of one is equal to 48 we are told that D which is the common difference is equal to negative two. So what we're going to do is take these values and plug them in to this general equation in order to solve for the 80th term. Now here N is going to equal to 80 because we are asked to find a sub 80. So substituting in these three values is going to give us a sub is equal to a sub one which is 48 Plus N, which is 80 -1 times the common difference which is -2. Now 80 -1 is going to give us 79 And 79 times negative two is going to give us negative And finally 48 -158 is going to give us -110. So that means that the 80th term in the arithmetic sequence is going to be negative 110 and that's going to be the answer to this problem. And that means that the solution to the problem is going to be d. So I hope this video helps you in understanding how to find a specific term in an arithmetic sequence, and I'll go ahead and see you all in the next video.

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In Exercises 15–22, find the indicated term of the arithmetic sequence with first term, and common difference, d. Find a60 when a₁ = 35, d = -3.