4 years ago

A sequence starts:

Mathematics

1 answer:

Softa [21]4 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

Given the sequence

1, 4, 9, 16, ....

has n th term

$a_{n}$ = n²

(a)

Given the sequence 2, 5, 10, 17, ......

Note the terms are 1 more than the previous given sequence, thus

$a_{n}$ = n² + 1

(b)

Given 2, 8, 18, 32, ......

Note the terms are twice the original given sequence, thus

$a_{n}$ = 2n²

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Eva8 [605]

Answer:

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Penny's function has an output that is four more than three times the input. Johns function expressed in slope-intercept form is

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3 years ago

Mr.james runs a petting zoo. he records the number of visitors each week,v, t weeks, after opening the petting zoo. according to

melisa1 [442]

Answer:

$\large \boxed{\text{19 visitors/mo}}$

Step-by-step explanation:

The average rate of change is the change in the number of visitors divided by the change in the number of months.

1. Change in number of visitors

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2. Change in number of weeks

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3. Average rate of change

$\begin{array}{rcl}\text{Average rate of change} &= &\dfrac{\text{change in visitors}}{\text{change in months}}\\\\&= &\dfrac{\text{57 visitors}}{\text{3 mo}}\\\\& = & \textbf{19 visitors/mo}\\\end{array}\\\text{The average rate of change is $\large \boxed{\textbf{19 visitors/mo}}$}$