Given the recursive formula shown, what are the first 4 terms of the sequence?
if(1) = 5 if n=1
f(n)-
f(n) = 45(n-1) if n> 1
A) 5. 25, 100, 400
B) 5, 20, 80, 320
C) 5, 25, 125, 625
D) 5. 14, 60, 236

Given the recursive formula shown what are the first 4 terms of the sequence if1 5 if n1 fn fn 45n1 if ngt 1 A 5 25 100 400 B 5 20 80 320 C 5 25 125 625 D 5 14 class=

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Answer:

B. 5, 20, 80, 320.

Step-by-step explanation:

f(1) = 5

After the first rem, each term id 4 times the previous term,  so:

f(2) = 4f(1) = 4*5 = 20.

f(3) = 4f(2) = *20 = 80

f(4) = 4(f3) = 4*80 = 320.

B) 5, 20, 80, 320.

What is a recursive formula for a sequence?

A recursive sequence is a series in which terms are defined using one or greater previous terms which can be given. In case you recognize the nth term of an arithmetic collection and the commonplace distinction, d, you could discover the (n+1)th term the use of the recursive system an+1=an+d.

We discovered that a recursive rule is a rule that continually takes a preceding quantity and modifications it to get to a subsequent quantity. for instance, our counting numbers is a recursive rule because every quantity is the previous quantity plus 1.

f(1) = 5

After the primary rem, each time period identification four instances of the preceding time period, so:

f(2) = 4f(1) = 4*five = 20.

f(3) = 4f(2) = *20 = 80

f(4) = 4(f3) = 4*80 = 320.

Learn more about recursive formulas here https://brainly.com/question/1275192

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