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

The 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 term of A.P sequence

Given a = - 17 and  d = 9

Final answer:-

The term of A.P sequence

tₙ = 9 n - 26

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk