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3 years ago

Write a recursive formula for each sequence given or described below.

Mathematics

1 answer:

lapo4ka [179]3 years ago

3 0

Answer:

Recursive form of sequence is given by f(n) = f(n-1) - 3

Step-by-step explanation:

The explicit form of sequence is given as

f(n) = −3n + 2

So nth term is given by

f(n) = −3n + 2

(n-1)th term is given by

f(n-1) = −3(n-1) + 2

We have

f(n) - f(n-1) = −3n + 2 - (−3(n-1) + 2)

f(n) - f(n-1) = −3n + 2 +3(n-1) - 2

f(n) - f(n-1) = −3n + 2 +3n -3 - 2

f(n) - f(n-1) = -3

f(n) = f(n-1) - 3

Recursive form of sequence is given by f(n) = f(n-1) - 3

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are $n_1$ ways to complete the first step, $n_2$ ways to complete the second step, $n_3$ , and $n_k$ ways to complete the $k^{th}$ step, this process can be carried out in $n_1\times n_2\times n_3\times ...\times n_k$ ways.

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