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Question

Question: The first term of an A.P. is 2 and common difference is 4. The sum of its 40 terms will be...

The first term of an A.P. is 2 and common difference is 4. The sum of its 40 terms will be

A

3200

B

1600

C

200

D

2800

Answer

3200

Explanation

Solution

S=n2[2a+(n1)d]=402[2×2+(401)4]=3200S = \frac{n}{2}\lbrack 2a + (n - 1)d\rbrack = \frac{40}{2}\lbrack 2 \times 2 + (40 - 1)4\rbrack = 3200