Consider the arithmetic sequence: 10, 12, 14, 16, ...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n) = 16 + 3n for n 2-2
A
b(n) = 14 + 2n for n > -1
c(n) = 10 + 3n for n > 0
Dd(n) = 8 + 2n for n > 1

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be:

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

So, nth term is:

In the options below, the only correct answer is option D. so, we can write nth term as:

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is

Option D is correct option

D) 8 + 2n for n > 1

Step-by-step explanation:

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