problem 231 mathcounts

Mathematics
Tutor: None Selected Time limit: 1 Day

Given that 12,v,w,x,y,z is an arithmetic sequence whose median is 20.75, what is the sum of these six numbers? Express your answer as a decimal to the nearest tenth.

Oct 5th, 2014

Given that 12,v,w,x,y,z is an arithmetic sequence whose median is 20.75, what is the sum of these six numbers? Express your answer as a decimal to the nearest tenth.

w+x =41.5

12, 12+d, 12+2d,….12+5d

Sum =72+15d

w =12+2d

x=12+3d

w+x =24+5d

24+5d =41.5

72+15d = 124.5

Sum is 124.5

Oct 5th, 2014

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