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Alex_Xolod [135]
3 years ago
15

What is the rate of change for the function (1,15) and (3,45)

Mathematics
1 answer:
Tresset [83]3 years ago
7 0

Answer:

the rate of change is 15

Step-by-step explanation:

(1, 15)

(3, 45)

now we need to find 2

if the rate is 15, 2 should be 30

1, 15

+1, +15

2, 30

+1, +15

3, 45

the rate of change is 15

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MrRissso [65]

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

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3 years ago
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Vanyuwa [196]

Answer:

31.6

Step-by-step explanation:

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