The sum of the infinite terms of the series 5 3^2+7^2 + 9 7^2+11^2 + 13 11^2+15^2 + is

JEE Main Mathematics question

The sum of the infinite terms of the series is

Answer: (D)

Read the terms as (products, as the printed key requires): . So the term is , and the series telescopes to

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Question ID VK-021668