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Mathematics 61 Online
OpenStudy (anonymous):

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

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

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.

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

OpenStudy (welshfella):

the formula for the nth term is an = ar^(n-1)

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