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nevsk [136]
2 years ago
12

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

Mathematics
1 answer:
ANEK [815]2 years ago
4 0

Answer:

D)

17,15,13,11

Step-by-step explanation:

From the formula

f(n) = f(n - 1) - 2 \\ f1 = 17 \\

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