Question

the list of numbers 3 , 3 square , 3 cube............... forms an AP is it true or false plz plz tell

Answer 1

Answer:

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Answer 2

Given,

$Series = 3, 3^{2} , 3^{3}$

To Find,

If the given series forms an A.P. or not.

Solution,

We can solve the question as follows:
We know that an arithmetic progression (A.P.) is a series of numbers in which every term after the first one is formed by adding a constant/ equal value. This constant value is called the common difference (d).

In the given series,

$3, 3^{2}, 3^{3}$

The difference between the first two terms $= 3^{2} - 3 = 6$

The difference between the second and the third terms $= 3^{3} - 3^{2} = 18$

We can see that the difference between the terms is not equal.

Hence, the following series do not form an A.P.