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first you find the first term which is multiple of 7 which is 7

then you find the last term which is multiple of 7 is 1295

then we find n (number of terms) from the formula

Un=U1+(n-1)d

Un= last term,U1= first term,n= number of terms,d=the difference between a term and the term after it which in this case is 7

1295=7+(n-1)7

1295= 7+7n-7

1295=7n

185=n

now we have every value we need so we apply them in the formula

Sn=n/2(U1+Un) "this formula can be applied only in arithmetic sequence"

=185/2(7+1295)

= 120435

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Q: What is the sum of all the multiples of 7 between 3 and 1298?
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