20 , 10 , 2.5

Question

20    ,    10    ,    2.5

Ryker Franklin · Accepted Answer

Some possibilities:What is the following number in the list?       20    ,    10    ,    2.5   ?Note that             20      10        =    2   and             10      2.5        =    4  , so we could expect the next item in the sequence to be:            2.5      6        =    0.41                  6            ¯      or            2.5      8        =    0.3125  Since this does not fall into the category of any standard sequence, we could justify all kinds of continuations of the sequence.What number is missing in the geometric sequence       20    ,    10    ,    2.5  ?Note that the sequence:      20    ,    10    ,                  5              ,    2.5  would be a geometric sequence, with each term being half of the preceding one.What is the rule and next term of the sequence       20    ,    10    ,    2.5  ?Note this assumes that       5   was missed from the question.If so, then this looks like a geometric sequence with initial term       20   and common ratio             1      2      The formula for a general term would be:            a      n        =    20    ⋅                  (                  1          2                )                    n        -        1            and the next term of the sequence would be:      2.5    ⋅          (              1        2            )        =    1.25

20, 10, 2.5?

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