Mathematics, 20.01.2021 23:10 82coogs

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Answer from: agelafa

The Recursive Formula for the sequence is:

$\:a_n=\frac{1}{5}\left(a_{n-1}\right)$ ; a₁ = 125

Hence, option D is correct.

Step-by-step explanation:

We know that a geometric sequence has a constant ratio 'r'.

The formula for the nth term of the geometric sequence is

$a_n=a_1\cdot r^{n-1}$

where

aₙ is the nth term of the sequence

a₁ is the first term of the sequence

r is the common ratio

We are given the explicit formula for the geometric sequence such as:

$a_n=125\left(\frac{1}{5}\right)^{n-1}$

comparing with the nth term of the sequence, we get

a₁ = 125

r = 1/5

Recursive Formula:

We already know that

a₁ = 125r = 1/5

We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.

i.e.

$a_n=ra_{n-1}$

Thus, substituting r = 1/5

$\:a_n=\frac{1}{5}\left(a_{n-1}\right)$

and a₁ = 125.

Therefore, the Recursive Formula for the sequence is:

$\:a_n=\frac{1}{5}\left(a_{n-1}\right)$ ; a₁ = 125

Hence, option D is correct.

Answer from: Quest

0/5 is 0, 2/0 is undefined, and 0/0 is indeterminate.

step-by-step explanation:

hope my answer has you!

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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