consider a sequence whose first five terms are 64, 48, 36, 27, 20.25. select the function (with domain of all integers n greater than but equal to 1) that can be used to define and continue this sequence

Given :

First five terms of sequence are :

64, 48, 36, 27, 20.25

To Find :

Find a function of n can be used to define and continue this sequence .

Solution :

Ratio of two consecutive numbers :

Therefore , its an geometric progression with common ratio and first term is A = 64 .

General equation of G.P with common ratio r and first term A is :

Therefore , general equation sequence is given by :

Hence , this is the required solution .

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step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is