Question

does 2,2²,2³,2⁴.. form an ap justify ur ans​

Answer 1

Answer:

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Answer 2

Hlw dude !!

$\bf\bigstar{QUESTION}$

Does 2,2²,2³,2⁴.. form an AP?

Justify your ans​ wer.

$\bf\bigstar{ANSWER}$

No, it doesn't forms an AP or Arithmetic progression.

Because in an AP, we must need a common difference , 'D'.

According to the given condition,

Let 2 = a.

Here the sequence is going like,

$\bf{a, a^2, a^3, a^4, a^5,.., a^n}$

But actually an AP must be like,

$\bf{a,a+d,a+2d, a+3d, a+4d,..,a+nd}$

( n can be any natural number )

In the given condition ,

there is no common difference.

Here,

2 = 2 x 1

2²= 2 x 2

2³ = 2 x 2 x 2

2⁴ = 2 x 2 x 2 x 2

Here there is no common difference.

∴ It can't form an AP.

Hope this answer can helps u !! ☆♥