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Chapter 11: Q4. (page 586)

Find Sn for each arithmetic series described.

a1=4,an=100,n=25

Short Answer

Expert verified

Sn for the arithmetic series isS25=1300 .

Step by step solution

01

Step 1. Given Information.

Given arithmetic series is a1=4,an=100,n=25.

02

Step 2. Calculation.

The sum Sn of the first n terms of an arithmetic series is given by

Sn=n2(a1+an)

Here, a1=4,an=100,n=25

Plugging the values:

Sn=n2(a1+an)S25=252(4+100)S25=252(104)S25=25(52)S25=1300

03

Step 3. Conclusion.

Hence, the sum is S25=1300.

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