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Chapter 12: Q 115. (page 1185)

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

an=鈭�3n+5

Short Answer

Expert verified

The obtained sum -3575.

Step by step solution

01

Step 1. Given Information.

The given general formula is an=鈭�3n+5.

02

Step 2. Find the first and 50th terms. 

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

a1=鈭�31+5=2

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

a50=鈭�350+5=-150+5=-145

03

Step 3. Find the sum of 50th terms.

Use the formula of sum Sn=n2a1+an.

S50=5022鈭�145=25鈭�143=-3575

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Most popular questions from this chapter

Find the sum of the first 50 terms of the arithmetic sequence whose general term isan=4n+3.

Write the first five terms of the sequence whose general term isan=2n!.

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

a1=64andr=14

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

3,12,48,192,768,3072,...

Write the sum using summation notation:1+14+19+116+125.
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