17.0k views
11 votes
An arithmetic sequence is represented by the function f(n) = 5 + 2(n-1). What is the first term of the sequence?

1 Answer

7 votes

Final answer:

The first term of the arithmetic sequence given by the function f(n) = 5 + 2(n-1) is 5. This is found by substituting n with 1.

Step-by-step explanation:

The student has asked to find the first term of the arithmetic sequence represented by the function f(n) = 5 + 2(n-1). To find the first term of an arithmetic sequence, we plug in 1 for n, since the first term corresponds to n=1. Plugging this into the function, we get:

f(1) = 5 + 2(1-1)

f(1) = 5 + 2(0)

f(1) = 5 + 0

f(1) = 5

Therefore, the first term of the arithmetic sequence is 5.

User Odradek
by
5.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.