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16 votes
16 votes
Question:

A sequence is defined by the recursive function f(n + 1) = –10f(n).

If f(1) = 1, what is f(3)?


3

–30

100

–1,000


the answer is 100

User Rojanu
by
2.7k points

2 Answers

24 votes
24 votes

Answer:

c - 100

Explanation:

User Usman Tahir
by
2.8k points
12 votes
12 votes

Answer:

100

Explanation:

f(1) = 1

f(2) = -10×f(1) = -10 × 1 = -10

f(3) = -10×f(2) = -10 × -10 × f(1) = -10 × -10 × 1 = 100

f(n) = -10 to the power of n-1

User Johnny Graber
by
2.8k points