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Chapter 12: Q 12.37. (page 1182)

Find the sum of the first 50 terms of the arithmetic sequence whose general term isan=2n-5.

Short Answer

Expert verified

The obtained sum is 2300.

Step by step solution

01

Step 1. Given Information.

The given general formula isan=2n-5.

02

Step 2. Find the first and 50th terms.

Substitute 1 for n in the formula for the first term.

a1=21鈭�5=-3

Substitute 50 for n in the formula for the 50th term.

a50=250鈭�5=100-5=95

03

Step 3. Find the sum of 50th terms.

Use the formula of sum Sn=n2a1+an.

S50=502鈭�3+95=2592=2300

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Most popular questions from this chapter

Write the first five terms of the sequence whose general term is an=n!(n+1)!.

In the following exercises, expand each binomial.

(s+t)7

Find a general term for the sequence whose first five terms are shown. 4, 8, 12, 16, 20, 鈥�

In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.

13,9,5,1,鈭�3,鈭�7,.....

Determine if each sequence is arithmetic. If so, indicate the common difference.

(a)鈭�4,4,2,10,8,16,鈥�(b)鈭�3,鈭�1,1,3,5,7,鈥�(c)7,2,鈭�3,鈭�8,鈭�13,鈭�18,鈥�
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