Solve for k?!? That makes no sense you probably mean for tOriginally Posted byhongster5

This is,

Assuming that this infinite seriesconvergesthen it is a geometric series for and such as its sum is 5. But its sum is given by .

Thus,

thus,

Q.E.D.

Something interesting to note,

the eqaution

Always has a unique solution,

namely,

and that,

Thus, any infinite geometric sum can be made to converge to any real number.