SOLUTION: Which is the 11th term in the sequence: 1/2,1,2,4,8...? (Points : 1) a. 256 b. 102 c. 1024 d. 512

Algebra ->  Sequences-and-series -> SOLUTION: Which is the 11th term in the sequence: 1/2,1,2,4,8...? (Points : 1) a. 256 b. 102 c. 1024 d. 512      Log On


   

Question 925265: Which is the 11th term in the sequence: 1/2,1,2,4,8...?
(Points : 1)
a. 256
b. 102
c. 1024
d. 512
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
sequence: 1/2,1,2,4,8...?
Geometric Sequence: r = 2
......
a%5Bn+%5D=+a%5B1%5D%282%29%5E%28n-1%29
a%5B11%5D=+%281%2F2%29%282%29%5E%2810%29 = 512

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the 11th term in the sequence: 1%2F2,1,2,4,8...?
as you can see you will get next term if you multiply previous one by 2
1%2F2
%281%2F2%292=1
1%2A2=2
2%2A2=4
2%2A4=8
nth term formula:
a%5Bn%5D=a%5B1%5D2%5E%28n-1%29
so, 11th term is
a%5B11%5D=%281%2F2%292%5E%2811-1%29
a%5B11%5D=%281%2F2%292%5E10
a%5B11%5D=%281%2F2%291024
a%5B11%5D=512