Find the values of t_1 and are for a geometric sequence with t_6= 4 and t_10 = 324.

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Work Shown:

Start with and multiply by the common ratio r to get the next term . Keep this going until you get to the 10th term

So we have...

From that we can see,

At this point, the only possible answer is choice C since this is the only answer choice with r = 3 in it. We could stop here if we wanted.

For the sake of completeness, let's find

You can use in place of in the section above, so either value is optional.

based on context clues you gave i'm assuming the answer would be c.