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What is the explicit formula for this sequence?
-9,-3,3,9,15

What is the explicit formula for this sequence? -9,-3,3,9,15-example-1

1 Answer

3 votes

Answer: A

Explanation:

Normally in choice questions, I would choose to substitute the values into the formulas but I think it is better if I explain to you.

In a sequence, if the numbers increase by d each time and the first number in the sequence is
a_(1), then the explicit formula is
a_(1) + (n - 1)d when n is the order of the number in the sequence, like n = 1 for the first number, n = 2 for the second number and so on. Using this, we get that the answer to this problem is
a_(n) = -9 + (n - 1)6 so the answer is A

User Honza Haering
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