# What is the 7th term of this geometric sequence 2, 6, 18, 54, …?

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To find the 7th term of the geometric sequence 2, 6, 18, 54, ..., you can use the formula for the nth term of a geometric sequence, which is given by ( a_n = a_1 \times r^{(n-1)} ), where ( a_1 ) is the first term and ( r ) is the common ratio.

In this sequence, the first term ( a_1 = 2 ) and the common ratio ( r = \frac{6}{2} = 3 ).

Substituting these values into the formula, we get: [ a_7 = 2 \times 3^{(7-1)} = 2 \times 3^6 = 2 \times 729 = 1458 ]

Therefore, the 7th term of the geometric sequence is 1458.

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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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