the sum of consecutive multiples of 7 is 357. find the smallest multiple
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here
first term be - x
common difference - 7
no. of term be - 7
sum of 7 terms be-357
now ,
Sn=n/2{2a+(n-1)d}
357=7/2{2a+(7-1)×7}
51=1/2{2a+42}
102=2a+42
2a=102-42
2a=60
a=30
so., the smallest multiple is 30
first term be - x
common difference - 7
no. of term be - 7
sum of 7 terms be-357
now ,
Sn=n/2{2a+(n-1)d}
357=7/2{2a+(7-1)×7}
51=1/2{2a+42}
102=2a+42
2a=102-42
2a=60
a=30
so., the smallest multiple is 30
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