Question

J. Reexamine the sequence 20, 14, 8, 2, ... from the problem

term of the sequence.
-- from the problem above. Write an equation for the nth

Answer 1

The n th of the given sequence is
`t_(n) = 26-6 n`

Explanation:

Step 1 :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference is
`d = second term- first term = 14-20=-6`

now the nth term of given sequence is

by using formula
`t_(n)=a+(n-1)d`

`t_(n)= 20+(n-1)(-6)`

`t_(n)= 20-6 n+6`

final answer:-

`t_(n) = 26-6 n`

verification:-

`t_(n) = 26-6 n`

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

`t_(n) = 26-6 n`