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March 25, 2017

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Write the next term of sequence,and then write the rule for the nth term.

1)1,8,27,64,....125
the nth is n

2) 3,8,15, 24,.....35
the nth is

Can you help me and correct ? thank you

  • algebra2/trig - ,

    1) looks like you are dealing with the cubes
    so term(n) = n^3

    2) did you notice that each term is one less than a perfect square?
    e.g.
    3 = 2^2 - 1 --term(1)
    8 = 3^2 -1 -- term(2)
    15 = 4^2 -1
    24 = 5^2 - 1
    35 = 6^2 - 1

    so term(n) = (n+1)^2 -1

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