christeljpierre23
Answered

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Given the recursive formula below, what are the first 4 terms of the sequence?

image

Question 3 options:


A)


17, 19, 21, 23


B)


17, –6, –3, 0


C)


17, 13, 9, 5


D)


17, 15, 13, 11

Given The Recursive Formula Below What Are The First 4 Terms Of The Sequenceimage Question 3 OptionsA 17 19 21 23B 17 6 3 0C 17 13 9 5D 17 15 13 11 class=

Sagot :

msakerj

Answer:

D)

17,15,13,11

Step-by-step explanation:

From the formula

[tex]f(n) = f(n - 1) - 2 \\ f1 = 17 \\ [/tex]

  • we can deduce the next three terms as follows:
  • [tex]f(2) = f(2 - 1) - 2 \\ f(2)= f(1) - 2 \\ f(2) = 17 - 2 \\ f(2) = 15\\ [/tex]
  • [tex]f(3) = f(3 - 1) - 2 \\ f(3)= f(2) - 2 \\ f(3) = 15 - 2 \\ f(3) = 13\\ [/tex]
  • [tex]f(4) = f(4 - 1) - 2 \\ f(4)= f(3) - 2 \\ f(4) = 13 - 2 \\ f(4) = 11\\ [/tex]
  • Hence the sequence is; 17, 15, 13, 11,...
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