The first three terms of a geometric progression are $x+5$, $x+1$, $x$. Calculate the value of

Question

The first three terms of a geometric progression are $x+5$, $x+1$, $x$. Calculate the value of $x$, the common ratio and the sum to infinity, if it exists.

Accepted Answer

$x=\dfrac13$, $r=\dfrac14$, $S_\infty=\dfrac{64}9$

Three term GP problem

Three term GP problem

Solution:

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