Question

If 16 term of an



a.P is -10 and 10 term is -26 then find length 17 term of ap

Answer 1

Hope it helps! ! ! ! ! ! ! ! ! ! ! ! ! !

Answer 2

Hi mate !!

Here is your answer :

Solution :

Let a be the first term and d be the common difference of the given AP.

Then,

16th term = a + 15d.

But ,

16th term = -10 [ Given ]

a + 15d = -10

a = -10 - 15d -----(1)

And,

10th term = a + 9d.

But ,

10th term = -26 [ Given ]

a + 9d = -26.

Substitute the value of a in equation (2) ,we get

-10 - 15d + 9d = -26

-10 - 6d = -26

-6d = -16

d = 16/6

d = 8/3.

Substitute the value of D in equation (1) ,we get

a = -10 - 15d = -10 - 15 × 8/3.

a = -10 -5 × 8

a = -10- 40 =-50.

Therefore,

17th term = a + 16d = -50 + 16 × 8/3 = -22/3.


Hope it helps you ♥

By rishi403.

BeBrainly.