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
[tex]T_{n}=1+(n-1)4[/tex]
= 1 + 4n - 4
[tex]T_{n}=4n-3[/tex]
Now 8th term will be [tex]T_{8}[/tex] = ( 4 × 8 - 3 )
= 32 - 3
= 29
Value of the 8th term = 29