Question

A new stadium is being built. The first row has 2000 seats, the second row has 2006

seats, the the third row has 2012 seats, and so on.
What explicit rule best represents the sequence 2000,2006,2012..... ?

A) an=2006+6n
B) an=1994+6n
C) an=2000+6n
D) an=2000-6n

Answer 1

an=2006+6n

Explanation:

Answer 2

C) an = 2000 + 6n

Explanation:

If n being the sequence of natural number rows e.g. 0, 1, 2, 3, 4, 5, and so on...

then by placing the value of n for each row we can find the said sequence as follows:

For Row 1:

an = 2000 + 6(0) = 2000

For Row 2:

an = 2000 + 6(1) = 2006

For Row 3:

an = 2000 + 6(2) = 2012

For Row 4:

an = 2000 + 6(3) = 2018

and so on......