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Explanation:

An = 3 + 7 + 11 + ...

⇒ Ann2[2 × 3 + (n - 1) × 4] = n2[4n + 2] = 2n2 + n

Now, 125n=125 [2n2 + n]

125[2 × 25×26×516 + 25×262]

125[25 × 26 × 17 + 25 × 13]

= 26 × 17 + 13 = 455

Hence, option (c).

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