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Olin [163]
3 years ago
5

Help me with this please!

Mathematics
1 answer:
erastova [34]3 years ago
3 0
7 Miles Per Hour Is The Answer.
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10. An arithmetic sequence has this recursive formula. What is the explicit formula?​
Mrrafil [7]

Answer:

a_{n}=45-3n

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

a_{n} =a_{1} +(n-1)d\\

d is the common difference, can be found by:

d=a_{n}-a_{n-1}=-3

Subtituting the a_{1} and d

You get:

a_{n}=42+(-3)(n-1)=45-3n

Method 2 (Mathematical induction):

Assume it is in form a_{n}=45-3n

Base step: a_{1} =45-3(1)=42

Inducive hypophesis: a_{n}=45-3n

GIven: a_{n+1} =a_{n}-3

a_{n+1}=45-3n-3=45-3(n+1)

Proved by mathematical induction

a_{n}=45-3n

5 0
3 years ago
Answer The Question On The Picture
taurus [48]

Answer:

a

Step-by-step explanation:

8 0
2 years ago
Find the rate of decay of the function b(x)=4(0.006)^x<br><br> Enter your answer as a percent
yuradex [85]
The answer is .6 percent
6 0
2 years ago
Read 2 more answers
What is the work to 5x=3x-6
Jlenok [28]
5x-3x=-6
2x=-6
x=-3
x equals -3 is the answer.
7 0
3 years ago
16 + 4(x)= -2<br> What is x?
borishaifa [10]

Answer:

x = -9/2

Step-by-step explanation:

16 + 4(x) = -2

4x = -2 - 16

4x = -18

x = -18/4

x = -9/2

4 0
3 years ago
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