Question

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

Answer 1

Answer:

Value of the 8th term = 29

Step-by-step 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

Answer 2

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