Question

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

Answer 1

Answer:

The $n^{th}$ term of A.P sequence

tₙ = 9 n - 26

Step-by-step 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