In an A.P., given a 3 = 15, S 10 = 125, find d and a 10 .

By formula, a n = a + (n - 1)d Given, ⇒ a 3 = 15 ⇒ a + (3 - 1)d = 15 ⇒ a + 2d = 15 ⇒ a = 15 - 2d .........(1) By formula, S n = Given, ⇒ S 10 = 125 Substituting value of a from equation (1) in above equation : Substituting value of d in equation (1), we get : ⇒ a = 15 - 2d = 15 - 2(-1) = 15 + 2 = 17. a 10 = 17 + (10 - 1)(-1) = 17 - 9 = 8. Hence, d = -1 and a 10 = 8.

In an A.P., given a = 7, a₁₃ = 35, find d and S₁₃.

View Answer Bookmark Now

In an A.P., given a₁₂ = 37, d = 3, find a and S₁₂.

View Answer Bookmark Now

In an A.P., given d = 5, S₉ = 75, find a and a₉.

View Answer Bookmark Now

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

View Answer Bookmark Now

Mathematics

In an A.P., given a₃ = 15, S₁₀ = 125, find d and a₁₀.

AP

Related Questions

In an A.P., given a = 7, a₁₃ = 35, find d and S₁₃.

In an A.P., given a₁₂ = 37, d = 3, find a and S₁₂.

In an A.P., given d = 5, S₉ = 75, find a and a₉.

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

Mathematics

In an A.P., given a3 = 15, S10 = 125, find d and a10.

AP

Related Questions

In an A.P., given a = 7, a13 = 35, find d and S13.

In an A.P., given a12 = 37, d = 3, find a and S12.

In an A.P., given d = 5, S9 = 75, find a and a9.

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

In an A.P., given a₃ = 15, S₁₀ = 125, find d and a₁₀.

In an A.P., given a = 7, a₁₃ = 35, find d and S₁₃.

In an A.P., given a₁₂ = 37, d = 3, find a and S₁₂.

In an A.P., given d = 5, S₉ = 75, find a and a₉.

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