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Find the sum to n-terms 3 + 7 + 13 + 21 + .........

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Find the sum to n-terms 3 + 7 + 13 + 21 + .........

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Let S = 3 + 7 + 13 + 21 + ......... + Tn ...........(i) 

S = 3 + 7 + 13 + ............ + Tn–1 + Tn ...........(ii) 

(i) – (ii) ⇒ Tn = 3 + 4 + 6 + 8 + .......... + (Tn – Tn–1)

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