Question

Give the 10th term in the geometric sequence.
2, 6, 18, 54, ...
A. 39,366
B. 13,122
C. 4,374

Answer 1

You are on a roll! Keep the sequence going!

Answer 2

It really is not that hard to see that this sequence is explained by\[a_1=2,\]\[a_{n+1}=3\cdot a_n.\]

Answer 3

a=2
r=3
Tn=ar^(n-1)
T10=(2)(3)^(9)=39366

Answer 4

^To make it in happier language, A1 = the first term, where an+1 is the term proceeding that. For instance, if A1 = 2, then A2 = 3*A1 where A1 is 2. Then A3 = 3*A2, where A2 was found to be 6. Etc. Hopefully that helps!

Answer 5

Thank you for the explanation, ilikedtea680. :)