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Chapter 11: Q5. (page 586)

Find Snfor each arithmetic series described.

a1=40,n=20,d=鈭�3

Short Answer

Expert verified

Sn for the arithmetic series isS20=230 .

Step by step solution

01

Step 1. Given Information.

Given arithmetic series is a1=40,n=20,d=鈭�3.

02

Step 2. Calculation.

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

Sn=n2(2a1+(n鈭�1)d)

Here, a1=40,n=20,d=鈭�3

Plugging the values:

Sn=n2(2a1+(n鈭�1)d)S20=202(2(40)+(20鈭�1)(鈭�3))S20=10(80+(19)(鈭�3))S20=10(80鈭�57)S20=10(23)S20=230

03

Step 3. Conclusion.

Hence, the sum is S20=230.

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