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

Question

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 · Answer

well, do you see the pattern in the table?

anonymous · Answer

no not really

vocaloid · Answer

hint: start by dividing the second term by the first term

welshfella · Answer

Hint :- you multiply to get the next number

anonymous · Answer

umm those are 2 different hints

anonymous · Answer

is it the second one

anonymous · Answer

nvm i think its the first one

math&ing001 · Answer

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.

anonymous · Answer

oh so then its the last one

math&ing001 · Answer

Correct.

welshfella · Answer

yes

anonymous · Answer

thank you

welshfella · Answer

each term is multiplied by -2 to get the next one.

welshfella · Answer

yw

welshfella · Answer

the general form of a geometric sequence is
a , ar , ar^2 , ar^3   etc

where a = first term and r = common ratio

welshfella · Answer

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