# How do I find the 7th term of a geometric sequence for which #t_1 = 6# and #r = 4#?

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To find the 7th term (( t_7 )) of a geometric sequence when the first term (( t_1 )) is 6 and the common ratio (( r )) is 4, you can use the formula:

[ t_7 = t_1 \times r^{(n-1)} ]

Substituting the given values:

[ t_7 = 6 \times 4^{(7-1)} ]

[ t_7 = 6 \times 4^6 ]

[ t_7 = 6 \times 4096 ]

[ t_7 = 24576 ]

So, the 7th term of the geometric sequence is 24576.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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