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Chapter 12: Q 107. (page 1185)

In the following exercises, find the sum of the first 30 terms of each arithmetic sequence.

11,14,17,20,23,鈥�

Short Answer

Expert verified

The obtained sum is 1635.

Step by step solution

01

Step 1. Given Information.

The arithmetic sequence is11,14,17,20,23,鈥�.

02

Step 2. Find the common difference d.

Find the common difference of consecutive terms.

d=14-11=3

And, now find the 30th term of the sequence.

a30=11+30鈭�13=11+87=98

03

Step 3. Use the sum formula.

Use the sum formula Sn=n2a1+anto find the sum of the thirteenth term.

S30=30211+98=15109=1635

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Most popular questions from this chapter

Find the first term and common difference of a sequence where the third term is 2 and the twelfth term is 鈭�25. Give the formula for the general term.

an=鈭�1nn2.Write the first five terms of the sequence whose general term is

Expand the partial sum and find its value:鈭�i=153i

Find the thirteenth term of a sequence where the first term is 81and the common ratio is r=13.

Write each sum using summation notation: 鈭�2 + 4 鈭� 6 + 8 鈭� 10.
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