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How do you find the next two terms of the geometric sequence #1.25, -1.5, 1.8,...#?

Answer 1

Madelyn Anderson

#-2.16, 2.592#

To find the ratio between two consecutive terms, divide the second term by the first term.

#-1.5/1.25# #-1.2#

To find the next two terms, multiply the last term by the ratio.

#1.8*-1.25# #=-2.16#

And to find the final term, repeat the process

#-2.16*1.25=2.592#

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Answer 2

Liam Brennan

To find the next two terms of the geometric sequence, we first calculate the common ratio by dividing any term by its preceding term.

Common ratio (r) = -1.8 / (-1.5) = 1.2

Then, we use this common ratio to find the next two terms:

4th term = (3rd term) * (common ratio) = 1.8 * 1.2 = 2.16 5th term = (4th term) * (common ratio) = 2.16 * 1.2 = 2.592

So, the next two terms of the geometric sequence are 2.16 and 2.592.

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Answer from HIX Tutor

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.