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Select the function that defines the given sequence

-11, -8, -5,-2,-1,...

A. F(1)= -11
F(n) = f(n - 1) - 3; for n = 2,3,4,...

B. F(1) = -11
F(n) = f(n-1) + 3; for n = 2,3,4...

C. F(1) = -11
F(n) f(n+1) -3; for n = 2,3,4,...

D. F(1) = -11
F(n) = f(n+1) + 3; for n = 2,3,4...

User Ishwr
by
8.0k points

2 Answers

6 votes

Answer:

b

Explanation:

User Rick Benetti
by
8.7k points
5 votes

Answer:

B. F(1) = -11

F(n) = f(n-1) + 3; for n = 2,3,4...

Explanation:

The given sequence is -11, -8, -5,-2,-1,...

The first term is f(1)=-8 and the common difference is


d = - 8 - - 11 = 3

The recursive definition of this sequence is given by:


f(n) = f(n - 1) + d

This implies that:


f(n) = f(n - 1) +3 \: where \: f(1) = - 11

and n=2,3,4,5,...

The second choice is correct

User Cyrbil
by
8.5k points

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