some one asked me to find out the n th term of the following number sequence
1 2 4 8 16 32 64 128 512 1024 2048....
2007-10-25 04:51:33 · 10 answers · asked by Johny E 1 in Science & Mathematics ➔ Mathematics
nth term = 2^(n-1)
Check and it works. :)
2007-10-25 04:55:01 · answer #1 · answered by 1294 4 · 0⤊ 0⤋
This is a geometric sequence
t(n) = 2^(n-1)
t(1) = 2^(1-1) = 2^0 = 1
t(2) = 2^(2-1) = 2^1 = 2
t(3) = 2^(3-1) = 2^2 = 2*2 = 4
t(4) = 2^(4-1) = 2^3 = 2 * 2 * 2 = 8
2007-10-25 11:55:59 · answer #2 · answered by PeterT 5 · 0⤊ 0⤋
This is a typical geometric sequence.
The formula to find any term for a geometric sequence is,
tn = a x r^(n-1)
where,
tn = the nth term u want to find
a = the first term
n = the ratio of any term to its preceding term.. here 2/1 or 4/2 = 2
Here, x refers to just multiplication sign, NOT any variable.
2007-10-25 12:21:16 · answer #3 · answered by deepak s 1 · 0⤊ 0⤋
It's 2^(n-1). Each term is the preceding one multiplied by 2.
2007-10-25 12:03:04 · answer #4 · answered by steiner1745 7 · 0⤊ 0⤋
2^(n-1)
2007-10-25 11:57:16 · answer #5 · answered by cinash 2 · 0⤊ 0⤋
2^n power
2^0 = 1
2^1 = 2
2^2 = 4
....
2^n = 2 * 2 *2.....N
EDIT: Below is correct the 1st term is actually 2^0 ;)
2007-10-25 11:54:24 · answer #6 · answered by Martin A 2 · 0⤊ 0⤋
2^(n-1) is correct
2007-10-25 11:57:13 · answer #7 · answered by frozen 5 · 0⤊ 0⤋
basically n=2^(n-1)
2007-10-25 11:57:01 · answer #8 · answered by Helen 2 · 0⤊ 0⤋
4096
2007-10-25 12:05:04 · answer #9 · answered by Laura B 2 · 0⤊ 2⤋
Answer: n = n + n
2007-10-25 12:04:24 · answer #10 · answered by Jun Agruda 7 · 3⤊ 2⤋