Identify the type of sequence shown in the table below and select the appropriate response.
n f(n)
1 48
2 −96
3 192
4 −384
5 768
Arithmetic sequence; common difference is 96
Arithmetic sequence; common difference is −144
Geometric sequence; common ratio is 3
Geometric sequence; common ratio is −2
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Vocaloid (vocaloid):
well, do you see the pattern in the table?
OpenStudy (anonymous):
no not really
Vocaloid (vocaloid):
hint: start by dividing the second term by the first term
OpenStudy (welshfella):
Hint :- you multiply to get the next number
OpenStudy (anonymous):
umm those are 2 different hints
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OpenStudy (anonymous):
is it the second one
OpenStudy (anonymous):
nvm i think its the first one
OpenStudy (math&ing001):
It's neither the first nor the second. The two hints are actually the same.
You divide the 2nd term by the 1st to get the ratio.
OpenStudy (anonymous):
oh so then its the last one
OpenStudy (math&ing001):
Correct.
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OpenStudy (welshfella):
yes
OpenStudy (anonymous):
thank you
OpenStudy (welshfella):
each term is multiplied by -2 to get the next one.
OpenStudy (welshfella):
yw
OpenStudy (welshfella):
the general form of a geometric sequence is
a , ar , ar^2 , ar^3 etc
where a = first term and r = common ratio
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