The to build the nth figure it takes a(n) = 6n -1 if the first figure takes 5 matchstick squares to build, the second takes 11 to build, and the third takes 17 to build.
What is a sequence?
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
The first figure takes 5 matchstick squares to build, the second takes 11 to build, and the third takes 17 to build.
It is a problem of sequence:
5, 11, 17…
The above sequence is an arithmetic progression:
The common ratio d = 11-5 = 6
First term a = 5
nth term can be written as:
a(n) = 5 + (n - 1)(6)
a(n) = 6n -1
Thus, the to build the nth figure it takes a(n) = 6n -1 if the first figure takes 5 matchstick squares to build, the second takes 11 to build, and the third takes 17 to build.
Learn more about the sequence here:
brainly.com/question/21961097
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