Question

A fivey sequence is a sequence of positive integers which adds up to 5. For example, 2, 2, 1 and 2, 1, 2 are two different fivey sequences. How many fivey sequences are there?

Answer 1

The total number of possible fivey sequences are; 6

How to solve a sequence?

We are told we are dealing with a fivey sequence which means that all the terms of the sequence must be positive integers and they must add up to 5.

Now, the possible numbers that can be used are;

1, 2 and 3.

If we start with 3, number of possible sequences is; 1

If we start with1, number of possible sequences is; 3 ways

If we start with 2, number of possible sequences is; 2 ways

Thus;

Total number of fivey sequences is 1 + 2 + 3 = 6 possible sequences

Read more about Sequence at; brainly.com/question/13612968

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