If the 2nd term of a new AP is 8 and the 5th term is 17 ,find its 19 t

1.	If the 2nd term of a new AP is 8 and the 5th term is 17 ,find its 19 th term.
Answer» Let AP first term is a and common difference be d a(2) = 8a + d = 8 ..... (1) a(5) = 17a + 4d = 17 ......(2) eq(2) - eq(1) 3d = 9d = 3 So, a = 8 - 3 = 5 Therefore, a(19) = a + 18d = 5 + 18 × 3 = 5+54 = 59 Please like my solution if you find it useful.

If the 2nd term of a new AP is 8 and the 5th term is 17 ,find its 19 th term.

Answer»

Let AP first term is a and common difference be d

a(2) = 8a + d = 8 ..... (1)

a(5) = 17a + 4d = 17 ......(2)

eq(2) - eq(1)

3d = 9d = 3

So, a = 8 - 3 = 5

Therefore, a(19) = a + 18d = 5 + 18 × 3 = 5+54 = 59

Please like my solution if you find it useful.