SOLUTION: The 3rd,5th and 8thterma of an Arithmetic progression are 3x+8,x+24 and x^3+15 respectively. Find the value of x and common difference.

Algebra ->  Sequences-and-series -> SOLUTION: The 3rd,5th and 8thterma of an Arithmetic progression are 3x+8,x+24 and x^3+15 respectively. Find the value of x and common difference.       Log On


   

Question 1080940: The 3rd,5th and 8thterma of an Arithmetic progression are 3x+8,x+24 and x^3+15 respectively.
Find the value of x and common difference.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
d, unknown common difference between terms

system%28x%2B24-3x-8=2d%2Cx%5E3%2B15-x-24=3d%2Cx%5E3%2B15-3x-8=5d%29

system%28-2x%2B16=2d%2Cx%5E3-x-9=3d%2Cx%5E3-3x%2B7=5d%29

highlight_green%288-x=d%29------substitute for d in the other two equations, and try to solve for x in each.
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