Question

What is the recursive formula for this sequence 10, 14 18, 22, 26...

Answer 1

Explanation:

add 4 each time

the nth term is or f(n)

the next term after that is or f(n+1)

so each term is 4 more than previous

basically

or

f(n+1)=4+f(n)

same thing

Answer 2

Answer:
`a(n)=a(n-1)-4`

Explanation:

We know that in recursive formula each term is described as a function of its preceding term.

The given sequence : 10, 14 18, 22, 26...

Here, First term =
`a_1=10`

Second term :
`a_2=14`

Third term :
`a_3=118` and so on...

Common Difference =
`a_2-a_1=14-10=4`

Then, the recursive formula for this sequence will be :

`a(n)=a(n-1)-4`