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Chapter 12: Q 12.36. (page 1181)

Find the sum of the first 30 terms of the arithmetic sequence: 7, 10, 13, 16, 19, 鈥�.

Short Answer

Expert verified

The obtained sum is 1515.

Step by step solution

01

Step 1. Given Information.

Consider the given sequence:

7,10,13,16,19,鈥�

02

Step 2. Find the common difference d.

Find the common difference of consecutive terms.

d=10-7=3

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

a30=7+30鈭�13=7+87=94

03

Step 3. Use the sum formula. 

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

S30=3027+94=15101=1515

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Most popular questions from this chapter

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

In the following exercises, expand each binomial using Pascal's Triangle.

(x+4)4

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

In the following exercises, write the first five terms of the sequence whose general term is given.

an=5n-33n

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

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