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.

Question

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

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

3. 1,-3/2,2,-5/2....

Answer 1

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!

Answer 2

i need help please!

Answer 3

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Answer 4

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

Answer 5

for number is it t the common difference?

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