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Chapter 12: Q 12.38. (page 1182)

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

Short Answer

Expert verified

The obtained sum is 5250.

Step by step solution

01

Step 1. Given Information. 

The given general formula is an=4n+3.

02

Step 2. Find the first and 50th terms. 

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

a1=41+3=7

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

a50=450+3=200+3=203

03

Step 3. Find the sum of 50th terms. 

Use the formula of sum Sn=n2a1+an.

S50=5027+203=25210=5250

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