The probability is what?

Given:

The recursive formulae are:

(a)

(b)

To find:

The explicit equation.

Solution:

A recursive formula of an arithmetic sequence is

and f(1) is the first term.

Where, d is the common difference.

The explicit formula is

where, a is first term and d is common difference.

(a)

We have,

Here, first term is 8 and common difference is -2. So, the explicit formula is

Therefore, the explicit formula is .

(b)

We have,

Here, first term is 0 and common difference is 5. So, the explicit formula is

Therefore, the explicit formula is .