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what is the nth term for the following sequence which begins

7, 11, 15, 19, 23

  • maths -

    Is this an arithmetic progression (AP) or geometric progression (GP)?

    AP's have constant differences, while GP's have constant ratios.

    Given series:
    7, 11, 15, 19, 23
    differences:
    11-7=4, 15-11=4, 19-15=4, 23-19=4
    (constant difference d=4, therefore AP)
    ratios:
    11/7, 15/11, 19/15, 23/19 (different, so NOT GP).

    The nth term of an AP is:
    A(n)=A(1)+(n-1)d
    d=4
    A(n)=A(1)+(n-1)d
    =7+(n-1)4
    =7+4n-4
    =3+4n

  • maths -

    it just says work out the nth term for the those numbers

  • maths -

    I hope you did not just read the first line of my response.

    I was asking myself that question (hope you do the same). The rest of the response followed.

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