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Mathematics : Arithmetic Sequence

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Consider the arithmetic sequence x+2, 18-x, 14+x,...
a) Find the value of x.
b) Find the general term of the arithmetic sequence.

  • Mathematics : Arithmetic Sequence - ,

    in general an = a1 + (n-1)d
    d = (18-x)-(x+2) = (14+x)-(18-x)
    d = 16 -2x = -4 +2x
    so
    4 x = 20 and x = 5

    then d = -4 + 2x = 6
    so
    an = a1 + (n-1)6
    if the first term is x+2 = 7
    then the sequence is
    an = 7+(n-1)6

  • Mathematics : Arithmetic Sequence - ,

    2,10,18,26

  • Mathematics : Arithmetic Sequence - ,

    a1= 2
    d=8
    n=4

    a5=2+(5-1)8
    a5=2+32
    a5=34

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