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

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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.

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