Find:10th term of the AP -40, -15, 10, 35, ………….

1.	Find:10th term of the AP -40, -15, 10, 35, ………….
Answer» Given A. P. is – 40, -15, 10, 35, ………. First term (a) = -40 Common difference (d) = Second term – fast term = -15 – (- 40) = 40 – 15 = 25 We know that, n^th term of an A.P. a_n = a + (n – 1)d Then, 10^th term of A. P. a₁₀ = -40 + (10 – 1)25 = – 40 + 9.25 = – 40 + 225 = 185 ∴ 10^th term of the A. P. is 185.

Answer»

Given A. P. is – 40, -15, 10, 35, ……….

First term (a) = -40

Common difference (d) = Second term – fast term

= -15 – (- 40)

= 40 – 15

= 25

We know that, n^th term of an A.P. a_n = a + (n – 1)d

Then, 10^th term of A. P. a₁₀ = -40 + (10 – 1)25

= – 40 + 9.25

= – 40 + 225

= 185

∴ 10^th term of the A. P. is 185.

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