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....

4 answers

check for common difference or ratio:

#1: d = 1
#2: r = 2/3
#3: differences: -5/2, +7/2, -9/2, ...
ratios: -3/2, +4/3, -5/4, ...

neither d nor r is constant, so the sequence is not AP or GP
so one is arithmetic

number two is geometric

number three is neither?
my bad that was my middle name
so one and two are neither
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