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Chapter 12: Q 113. (page 1185)

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

an=5n鈭�1

Short Answer

Expert verified

The obtained sum is 6325.

Step by step solution

01

Step 1. Given Information.

The given general formula is an=5n鈭�1.

02

Step 2. Find the first and 50th terms.

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

a1=51鈭�1=4

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

a50=550鈭�1=250-1=249

03

Step 3. Find the sum of 50th terms. 

Use the formula of sum Sn=n2a1+an.

S50=5024+249=25253=6325

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Most popular questions from this chapter

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