Question

While sorting some buttons, Amelia put 2 buttons in the first box, 12 buttons in the second box, 72 buttons in the third box, and 432 buttons in the fourth box. What kind of sequence is this?

Answer 1

SOLUTION

GIVEN

While sorting some buttons, Amelia put 2 buttons in the first box, 12 buttons in the second box, 72 buttons in the third box, and 432 buttons in the fourth box.

TO DETERMINE

The kind of the sequence

EVALUATION

Here it is given that While sorting some buttons, Amelia put 2 buttons in the first box, 12 buttons in the second box, 72 buttons in the third box, and 432 buttons in the fourth box.

So the number of buttons are 2 , 12 , 72 , 432

First term = 2

Second Term = 12

Third term = 72

Fourth term = 432

So

$\displaystyle \sf{ \frac{Second \: Term}{First \: term} } = \frac{Third \: term}{Second \: Term } = \frac{Fourth \: term}{Third \: term}$

So the above sequence is Geometrical Sequence

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Find the smallest term of geometric progression 3,5,25/3 that exceeds 100.

https://brainly.in/question/26328002

3. 8 GM's are inserted between 3 and 4

then the product of 8 GM's

https://brainly.in/question/29050188