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Consider the arithmetic sequence 3,5,7,9

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

Consider the arithmetic sequence 3,5,7,9 If n is an integer which of these functions-example-1
User Kerma
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Answer:

A

C

Explanation:

the functions that generate the sequence are;

1. 3 + 2n for n ≥ 0

n ≥ 0 means n starts from 0 till infinity

If n is substitute into the formula, it will give

3 + 2(0)

3+0=3

3 + 2(1)

3+2=5

3 + 2(2)

3+4=7

3 + 2(3)

3 +6=9

 this formula is correct because it gives the arithmetic sequence

the second option is

-1 + 2n for n ≥ 0

n ≥ 2 means n starts from 2

if n is substituted into this formula, it gives

-1 + 2(2)

-1 +4=3

-1 +2(3)

-1+6=5

-1 + 2(4)

-1+8=7

-1 +2(5)

-1+10=9

this formula gives the arithmetic sequence which means the formula generated is correct

the other options are not right because it does not give the correct arithmetic sequence

Hope this helps!

User Diego Fortes
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