Question

sum of multiples of 7 between 100and 200

Answer 1

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Answer 2

The sum of multiples of 7 between 100 and 200 is 1407

Step-by-step explanation:

Multiples of 7 between 100 and 200 :

105 , ...... , 196

First term = a = 105

d = 7

a_n=a+(n-1)d

196=105+(n-1)(7)

196-105=(n-1)(7)

$\frac{196-105}{7}=n-1 \\\frac{196-105}{7}+1=n$

14 = n

Sum of multiples of 7 between 100and 200 :

$S_n=\frac{n}{2}(a+a_n) \\S_{14}=\frac{14}{2}(105+96) \\S_{14}=1407$

Hence The sum of multiples of 7 between 100 and 200 is 1407

#Learn more:

Find the sum of all integers between 100and 300

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