Question

Find the 50th term of ap whose second term is 8 and fifth trrm is 17

Answer 1

see the attachment dude

...............

Answer 2

$\mathfrak\red{\large{\underline{\underline{Given:-}}}}$

2 th term of A.P = 8

5 th term of A. P = 17

$\mathfrak\red{\large{\underline{\underline{To find:-}}}}$

50 th term of A. P = ?

$\mathfrak\red{\large{\underline{\underline{Answer:-}}}}$

Let the first term be a and common difference be d.

According to question :-

$\bold{a + d = 8}$----- eq. 1

$\bold{a + 4d = 17}$-----eq.2

Subtract eq 1 . and 2. we get,

$\implies$ $\bold{a + d -(a + 4d ) = 8 - 17}$

$\implies$ $\bold{a - a +d - 4d = 8 - 17}$

$\implies$ $\bold{- 3d = -9}$

$\implies$ $\bold{d = 3 }$

put the value of d in equation 1.

we get, a = 5

Now 50 th term of A. P is = a + 49 d

50 th term of an A. P = 5 + 49 × 3

50 th term of an A. P = 152.

hence, 50 th term of A. P will be $\boxed{\sf\red{ 152}}$