# What would the formula for the nth term be given 0.3, -0.06, 0.012, -0.0024, 0.00048, ...?

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#a_n=(0.3)(-0.2)^(n-1)#

Here, the given sequence is :

The common ratio :

This is the geometric sequence :

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The given sequence appears to be a geometric sequence where each term is multiplied by -0.2 to get the next term.

The general formula for the nth term of a geometric sequence is:

[ a_n = a_1 \times r^{(n-1)} ]

Where: ( a_n ) = nth term ( a_1 ) = first term ( r ) = common ratio

Given: ( a_1 = 0.3 ) ( r = -0.2 )

Substituting these values into the formula:

[ a_n = 0.3 \times (-0.2)^{(n-1)} ]

So, the formula for the nth term of the sequence is:

[ a_n = 0.3 \times (-0.2)^{(n-1)} ]

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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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