Consider the arithmetic progression 3 , 7 , 11 , … 3, 7, 11, \dots 3 , 7 , 11 , … , and let A n A_n A n ​ denote the sum of the first n n n terms of t...

Question

Consider the arithmetic progression

3,7,11,3, 7, 11, \dots
, and let
AnA_n
denote the sum of the first
nn
terms of this progression. Then, calculate the value of
125n=125An\frac{1}{25} \sum_{n=1}^{25} A_n
.

Options

A.

404

B.

442

C.

455

D.

415

cat 2022arithmetic progressionalgebrasummationseries

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