SOLUTION: If 8,x,y and 27 are four consecutive terms of a G.P, find the value of x and y.

Question 1126559: If 8,x,y and 27 are four consecutive terms of a G.P, find the value of x and y.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

recall: In a Geometric Sequence each term is found by multiplying the previous term by a constant (common ratio ).
We can also calculate any term using the Rule:

If ,,, , we know that

use first and fourth term, plug it in to find common ratio

now find second term:
...

->

now find third term:
...

}}}

->

double check the fourth term:

-> as given

so, the value of and

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