SOLUTION: what is the general term or nth term of the sequence 1/4,9/16,81/64,729/256,...? A. 9^n-1/4^n+1 B. 9^n-1/4^n C. 9^n/4^n-1 D. 9^n+1/4^n

Question 1172497: what is the general term or nth term of the sequence 1/4,9/16,81/64,729/256,...?
A. 9^n-1/4^n+1
B. 9^n-1/4^n
C. 9^n/4^n-1
D. 9^n+1/4^n
Found 2 solutions by math_helper, greenestamps:
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

The 1st term, index n=1, () is =
For n=2, you have ...

You should see the pattern now...

B

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The ratio of the second term to the first term is .

The ratio of the third term to the second term is .

The ratio of the fourth term to the third term is .

The sequence is geometric, with first term 1/4 and common ratio 9/4:

That is equivalent to , or 9^(n-1)/4^n.

Technically, none of the given answer choices is correct, because they are all written incorrectly; required parentheses are missing.

Answer B is supposed to be the right answer; but as it is written that answer is 9^n-1/4^n =

That is clearly something very different from the correct expression.

RELATED QUESTIONS
What is formula for the nth term of the infinite sequence? For these you cannot use a... (answered by scott8148)
... (answered by josgarithmetic)
What is the equation for this sequence? 1, 4, 9, 17, 29,... I tried n(n-1) + n (answered by Edwin McCravy)
Write an expression for the apparent nth term of the sequence. (Assume that n begins with (answered by math_helper)
Please find the limit of the following sequence as n goes to infinity: {{{n/(n^2+1)... (answered by math_helper,robertb)
The formula for the n-th term of this sequence is n2. 1, 4, 9, 16, 25. What is the... (answered by Mathtut,josmiceli)
In the sequence, 1^1, 2^4, 3^9, 4^16, .......9^n, find the value of... (answered by Greenfinch)
What is the nth term of the arithmetic sequence? 7, 5, 3, 1, � A. �2n B. 7 � 2n... (answered by richwmiller)
write sigma notation for the sequence... (answered by reviewermath)