an amount A is initially 8. To find next week's amount, we multiply this week's amount by 4. Find a formula that gives the amount A after T weeks

Given:

Initial amount = 8

To find next week's amount, we multiply this week's amount by 4.

To find:

A formula that gives the amount A after T weeks.

Solution:

We have,

Initial amount = 8

According to the question,

Amount of next week = 4 × Amount of this week

Amount after one week is

Amount after two week is

Amount after T week is

Therefore, the required formula that gives the amount A after T weeks is .

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680