Question

What is the formula for the nth term of the given sequence? -17, -8, 1

Answer 1

The
`n^(th)` term of A.P sequence

tₙ = 9 n - 26

Explanation:

Step(i):-

Given sequence

- 17 , -8 , 1 .......

first term = -17

Second term = - 8

The difference of first two terms

d = - 8 -(-17) = -8+17 = 9

The difference of next two terms

d = 1 - (-8) = 1+8 = 9

∴ The given sequence is in A.P ( Arthimetic progression)

Step(ii):-

The
`n^(th)` term of A.P sequence

`t_(n) = a + ( n-1 ) d`

Given a = - 17 and d = 9

`t_(n) = -17 + ( n-1 ) 9 = - 17 + 9 n -9 = 9 n - 26`

Final answer:-

The
`n^(th)` term of A.P sequence

tₙ = 9 n - 26