SOLUTION: Find the value of x so that x+2, 5x+1, x+11 will form a geometric sequence. Find the sum of the first 10 terms of the given sequence.

Question 1041809: Find the value of x so that x+2, 5x+1, x+11 will form a geometric sequence. Find the sum of the first 10 terms of the given sequence.
Answer by ikleyn(52915) (Show Source): You can put this solution on YOUR website!
.

Find x from the condition   =  which is direct definition of a geometric progression.

It gives you 

 = ,

which is translated/converted into the equation

 = (x+2)*(x+11).

Simplify and solve it for x (which is just arithmetic).

Find x and all three terms.

Then find the rest.

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