A pizza with one topping costs $11. Each additional topping costs $2
more. Write a recursive formula
and an explicit formula for the
situation.
explicit formula:
recursive formula:

Given:

A pizza with one topping costs $11. Each additional topping costs $2  more.

To find:

The recursive formula  and an explicit formula for the  situation.

Solution:

The sequence of costs of pizza is

11, (11+2), (11+2+2), ...

11, 13, 15, ... are in A.P.

Here,

First term: a=11

Common difference: d=2

Explicit formula of an A.P. is

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

Therefore, the explicit formula for the  situation is .

Recursive formula of an A.P. is

Where, is first term and d is common difference.

Where, .

Therefore, the required recursive formula is where .

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step-by-step explanation: