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Answer:
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