Identify the recursive formula for the following sequence. 8, 16, 32, 64, ...

The  recursive formula for the given sequence

Step-by-step explanation:

Explanation:-

Given sequence is 8 , 16, 32, 64 ,.....

First term is   a = 8

common ratio  

                        and so on..

Given sequence of the common ratio 'r' is equal

The term of the sequence

This is  recursive formula for the given sequence

Verification:-

put n=1   ⇒ t₁ = 8

put n=2   ⇒ t₂ = 16

put n=3   ⇒ t₃ = 32

put n=4   ⇒ t₄= 64    

and so on..

The sequence  8 ,16 , 32 , 64 ....

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

2,160 π

step-by-step explanation: