Find the sum of all three digit number which are multiple of7
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Answered by
49
Answer:
70336
Step-by-step explanation:
Three digit natural number which are multiples of 7 are 105 , 112,119....994
There all are in the form AP
First term = 105
common difference = 112-105=7
Let 994 be the Nth term if AP
An = 994
105 + ( n-1) ×7 = 994
7(n-1)= 994-105
7(n-1) = 889
n-1 = 889 / 7
n-1= 127
n = 127+1= 128
Sum of all term if AP = 128/2 ( 105)
= 64×1099
= 70336
Thus , the sum of all three digit numbers which are multiples of 7 is 70336
Hope it helps you
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