SOLUTION: Write a formula for the nth term of the infinite sequence. Do not use a recursion formula.
1, 1/4,1/9,1/16/,1/25 show work
Algebra.Com
Question 475304: Write a formula for the nth term of the infinite sequence. Do not use a recursion formula.
1, 1/4,1/9,1/16/,1/25 show work
Found 3 solutions by robertb, ccs2011, richard1234:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Well set up a table to relate n to An, when An refers to the nth term of the sequence.
n = 1, 2, 3, 4, 5 ... n
An = 1, 1/4, 1/9, 1/16, 1/25 ... ?
Now try to establish a pattern.
Notice how the relationship remains constant for each n.
Therefore,
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
, this is actually easier than trying to write a recursive formula. The recursive formula might look something like ^2}{n^2})
where 
.
RELATED QUESTIONS
Write a formula for the nth term of the infinite sequence. Do not use a recursion formula (answered by ikleyn)
What is formula for the nth term of the infinite sequence? For these you cannot use a... (answered by scott8148)
Write a formula for the general term (the nth term) of each arithmetic sequence. Do not... (answered by ewatrrr)
I need help on this question please!!
{6, 1, -4, -9, ...}
Write a formula for the (answered by ramkikk66)
This is a "times 5" pattern:1, 5, 25, 125...
Write a formula for the nth term of the... (answered by richwmiller)
What is a formula for the nth term of the given sequence?
9, 3,... (answered by oscargut)
write a formula for the nth term of the infinite sequence:... (answered by robertb,ccs2011)
Use the geometric sequence of numbers 1, 2, 4, 8,… to find the following:
What is r, (answered by jim_thompson5910)
Please help me determine a formula for the nth term of a geometric sequence where term 1... (answered by ramkikk66)