Question

Recursive formula for 26, 24, 22, 20

Answer 1

a_n = 28-2n

Explanation:

Given sequence is:

26,24,22,20

We can see that the difference between consecutive terms is same so the sequence is an arithmetic sequence

The standard formula for arithmetic sequence is:

`a_n = a_1+(n-1)d`

Here,

a_n is the nth term

a_1 is the first term

and d is the common difference

So,

d = 24-26

= -2

a_1 = 26

Putting the values of d and a_1

`a_n = 26 + (n-1)(-2)\\a_n = 26-2n+2\\a_n = 28-2n`

Hence, the recursive formula for given sequence is: a_n = 28-2n ..