Question

What is the recursive formula for the sequence?

8, 6, 4, 2, 0, . . .

Answer 1

Explanation:

Here 6 - 8 = 4 - 6 = 2 - 4 = 0 - 2 = - 2

Thus, the common difference between any two consecutive term is - 2.

The recursive formula is given as:

`f(1)=a_1 = 8\\\\</p><p>f(2)=a_2 = a_1 - 2\\\\</p><p>f(3)=a_3 = a_2 - 2\\\\</p><p>f(4)=a_4 = a_3 - 2\\\\</p><p>f(5)=a_5 = a_4 - 2\\\\</p><p>\therefore f(n) = a_n=a_(n-1)-2 \\`