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Question

Question: The <img src="https://cdn.pureessence.tech/canvas_652.png?top_left_x=0&top_left_y=300&width=300&heig...

The term of the series 2×4+4×6+6×8+2 \times 4 + 4 \times 6 + 6 \times 8 + \ldots \ldotswill be.

A

1600

B

1680

C

420

D

840

Answer

1680

Explanation

Solution

The given series 2×4+4×6+6×82 \times 4 + 4 \times 6 + 6 \times 8 \ldots nthn ^ { t h } terms

Tn=2n2(n+1)=4n(n+1)T _ { n } = 2 n \cdot 2 ( n + 1 ) = 4 n ( n + 1 )

Putting n=20n = 20, we get .