27 is the answer.
an=n^2+2
a(5) = 2 + 5^2
= 2 + 25
= 27
This sequence is defined as a(n) = 2 + n^2.
Thus, a(1) = 2 + 1^2 = 2 + 1 = 3
Then a(5) = 2 + 5^2 = 2 + 25 = 27
What is the definition of a sequence?
A sequence is an ordered list of numbers. The three dots mean that they continue in an established pattern. Each number in the sequence is called a term. In the order of 1, 3, 5, 7, 9, ..., 1 is the first term, 3 is the second term, 5 is the third term, and so on.
The number a is the first term and d is a general difference. series. The nth term of the arithmetic progression is given by. an = a + (n-1) d. The number d is called the common difference because there are any two consecutive terms of an.
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