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Chapter 12: Q 114. (page 1185)

Find the sum of the first 50 terms of the arithmetic sequence whose general term is given.

an=2n+7

Short Answer

Expert verified

The obtained sum is 2900.

Step by step solution

01

Step 1. Given Information. 

The given general formula isan=2n+7.

02

Step 2. Find the first and 50th terms. 

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

a1=21+7=9

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

a50=250+7=100+7=107

03

Step 3. Find the sum of 50th terms.  

Use the formula of sum Sn=n2a1+an.

S50=5029+107=25116=2900

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Most popular questions from this chapter

Find the twenty-seventh term of a sequence where the first term is 7 and the common difference is 9.

In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.

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In the following exercise, determine if the sequence is geometric, and if so, indicate the common ratio.

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