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Chapter 12: Q. 279 (page 1219)

In the following exercises, find each sum.

鈭�i=135(i+10)

Short Answer

Expert verified

The sum is equal to 980.

Step by step solution

01

Step 1. Given Information  

We are given,

鈭�i=135(i+10)

We have to find the given sum.

02

Step 2. Finding the terms  

The terms is given by putting i=1,2,3....50

鈭�i=135(i+10)=(1+10)+(2+10)+(3+10)+鈥�+(35+10)鈭�i=135(i+10)=11+12+13+鈥�+45

So, the first term is11 and the fifth term is 45.

03

Step 3. Finding the sum 

Putting the values in formula, we get

Sn=n2(a+an)S35=352(11+45)S35=352(56)S35=35(28)S35=980

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