8,a,14,b,20Which of these could be the formula for any postive interger n?A.2n+ 6 B.3n+5 C.5n+3 D.6n+2 E.6n+5Y
In order to get from one term to the next, you add 3.
8+3 is 11, 11+3 is 14, 14+3 is 17, 17 + 3 is 20. Since you add 3 between terms, the common difference is 3, and that is the number multiplied by n.
So, now you have 3n + ____. To fill in the blank, use the first term, when n = 1. To have 3(1) + ____ = 8, the blank must be 5, so the correct answer is 3n + 5. B
b . 3n + 5
if you plug in with numbers you will get the sequence shown above
It is B( 3n+5)
If you sub n=1, the answer is 8
sub n=2 and the answer (a) is 11
sub n=3 and answer is 14
sub n=4 and answer (b) is 17
sub n=5 and answer is 20
Thus, this general term fits the pattern, and also solves for a and b.
3n + 5
if the seuence is 8,a,14,b,20
if you plug in 1=n to the formula then you get 8
if you plug in 2=n to the formula then you get 11
if you plug in 3=n to the formula then you get 14
if you plug in 4=n to the formula then you get 17
if you plug in 5=n to the formula then you get 20
so it fits the pattern you can keep it going if you needed to.