In an A.P., given a n = 4, d = 2, S n = -14, find n and a.

Given, a n = 4 By formula, a n = a + (n - 1)d Substituting values we get : ⇒ 4 = a + 2(n - 1) ⇒ 4 = a + 2n - 2 ⇒ a + 2n = 4 + 2 ⇒ a + 2n = 6 ⇒ a = 6 - 2n ........(1) By formula, S n = Given, S n = -14 Substituting values we get : Since, no. of term cannot be negative. ∴ n = 7. Substituting value of n in equation (1), we get : ⇒ a = 6 - 2n = 6 - 2 × 7 = 6 - 14 = -8. Hence, a = -8 and n = 7.

In an A.P., given a = 2, d = 8, S_n = 90, find n and a_n.

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In an A.P., given a = 8, a_n = 62, S_n = 210, find n and d.

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In an A.P., given a = 3, n = 8, S = 192, find d.

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In an A.P., given l = 28, S = 144, and there are total 9 terms. Find a.

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Mathematics

In an A.P., given a_n = 4, d = 2, S_n = -14, find n and a.

AP

Related Questions

In an A.P., given a = 2, d = 8, S_n = 90, find n and a_n.

In an A.P., given a = 8, a_n = 62, S_n = 210, find n and d.

In an A.P., given a = 3, n = 8, S = 192, find d.

In an A.P., given l = 28, S = 144, and there are total 9 terms. Find a.

Mathematics

In an A.P., given an = 4, d = 2, Sn = -14, find n and a.

AP

Related Questions

In an A.P., given a = 2, d = 8, Sn = 90, find n and an.

In an A.P., given a = 8, an = 62, Sn = 210, find n and d.

In an A.P., given a = 3, n = 8, S = 192, find d.

In an A.P., given l = 28, S = 144, and there are total 9 terms. Find a.

In an A.P., given a_n = 4, d = 2, S_n = -14, find n and a.

In an A.P., given a = 2, d = 8, S_n = 90, find n and a_n.

In an A.P., given a = 8, a_n = 62, S_n = 210, find n and d.