Question

Write a recursive formula for the arithmetic sequence below. What is the value of the 8th term?

1, 5, 9, 13, . . .

Answer 1

To find the answer,

Multiply the term with 4 then subtract with 3

Lets take the term as 'n'

Formula = 4n-3

Value of 8th term = (4*8)-3
= 32-3
= 29

The value of 8th term is 29

Answer 2

Value of the 8th term = 29

Explanation:

We have to write a recursive formula for the arithmetic sequence given as 1, 5, 9, 13......

For an arithmetic sequence recursive formula is

`T_(n)=1+(n-1)4`

= 1 + 4n - 4

`T_(n)=4n-3`

Now 8th term will be
`T_(8)` = ( 4 × 8 - 3 )

= 32 - 3

= 29

Value of the 8th term = 29