Asked by kendrick

Identify if the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic or geometric, then find the next term. and write the nth term.

1. t-3,t-2, t-1, t...

2. 3/4,1/2,1/3,2/9...

3. 1,-3/2,2,-5/2....
Answered by Writeacher
http://www.jiskha.com/display.cgi?id=1431144240
and
http://www.jiskha.com/display.cgi?id=1431145935

kendrick/richard/thomas -- You really need to just pick a name and stay with it!
Answered by kendrick
i need help please!
Answered by Writeacher
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Answered by Reiny
To be an arithmetic sequence, the difference between any term and its previous term is a constant.
e.g. 3, 5, 7, 9 , ... the common difference is 2

To be geometric, if you divide any term by its previous term you will get a common ratio,
e.g.
3, 12, 48, ...
12/3 = 4, 48/12 = 4 etc

I will do #2, you do the others

test for arithmetic:
is 1/2 - 3/4 = 1/3 - 1/2
is -1/4 = -1/6 ? NO, so NOT arithmetic
test for geometric:
is (1/2)/(3/4) = (1/3) / (1/2) ?
is (1/2)(4/3) = (1/3)(2/1) ?
is 2/3 = 2/3 ? Yes!!
so #2 is a geometric sequence
Answered by kendrick
for number is it t the common difference?

i cant find a common ratio for number three, is it neither?
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