Math

A skier has decided that on each trip down a slope, she will do 2 more jumps than before. On her first trip she did 6 jumps. Derive the sigma notation that shows how many total jumps she attempts from her fourth trip down the hill through her twelfth trip. Then solve for how many total jumps she attempts from her second trip down the hill through her tenth trip.

the summation of 2 i plus 4 from i equals 2 to 10. ; 144 jumps

the summation of 2 i plus 4 from i equals 2 to 10. ; 180 jumps

the summation of 4 i plus 2 from i equals 2 to 10. ; 234 jumps

the summation of 4 i plus 2 from i equals 2 to 10. ; 306 jumps

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  1. 10
    ∑(2k+4) = 144
    k=2

    You want to find the upper summation limit for the other values.

    So, what is

    n
    ∑(2k+4) = n(n+5)
    k=1

    Note that Sum(2,10) = sum(1,10) - sum(1,1) = 150-6 = 144

    Sum(4,12) = Sum(1,12)-Sum(1,3) = 204-24 = 180

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    posted by Steve

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