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Question

Complete the following activity to find the sum of natural numbers from 1 to 140 which are divisible by 4.

Sum of numbers from 1 to 140, which are divisible by 4 =

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Solution

From 1 to 140, natural numbers divisible by 4 are 4, 8, ... 136.
a = 4
d = 4

Now,
tn=a+n-1d136=4+n-14136=4+4n-44n=136n=34

Thus, number of terms (n) = 34.

We know that,
Sn=n22a+n-1d S34=3422(4)+34-14 =178+132 =17140 =2380



Hence, the sum of numbers from 1 to 140, which are divisible by 4 = 2380 .

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