Find the sum of the first 20 terms of the A.P. 3, 7, 11, 15, .....
Q.2 (B)(iv) Find the sum of the first 20 terms of the A.P. 3, 7, 11, 15, .....
Q.2 (B)(iv) Find the sum of the first 20 terms of the A.P. 3, 7, 11, 15, .....
Best answer
Answer: \(S_{20} = 820\)
\(a = 3,\ d = 4,\ n = 20\).
\(S_n = \dfrac{n}{2}[2a + (n - 1)d]\)
\(S_{20} = \dfrac{20}{2}[2(3) + 19(4)] = 10[6 + 76] = 10 \times 82 = 820\).
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