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Ross has a plan to increase the number of sit-ups he does by the same percent each
week. The table shows his goal for each week of the plan.
Which expression gives the goal for the 52nd week?

Ross Has A Plan To Increase The Number Of Situps He Does By The Same Percent Each Week The Table Shows His Goal For Each Week Of The Plan Which Expression Gives class=

Sagot :

Answer:

20•2^51

Step-by-step explanation:

ashishdwivedilVT

The expression that gives the goal for the 52nd week is 20(2)⁵¹.

Week   1      2     3      4      5

Goals  20   40   80   160   320

This means the numbers are goals are increasing geometrically.

What is a geometric progression?

A geometric progression is a series in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio.

We know the nth term of a GP = arⁿ⁻¹

Where a is the first term and r is the common ratio.

In our problem, a=20 and r=40/20=2

So, the 52nd term of the GP = 20(2)⁵²⁻¹

The 52nd term of the GP =20(2)⁵¹

Hence, the expression that gives the goal for the 52nd week is 20(2)⁵¹.

To get more about GP visit:

https://brainly.com/question/12006112

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