Find the common ratio & the next three terms in the sequence. 2.-6, 18, -54, ...
a
Common Ratio: r= 3 Next 3 terms: 32, -64, 128
b
Common Ratio: r = 5 Next 3 terms: 1250, 6250, 31250
C
Common Ratio: r = 5 Next 3 terms: 250, 1250, 6250
Common Ratio: r = -B Next B terms: 162, -486, 1458

We conclude that:

Hence, option D is correct.

Step-by-step explanation:

Given the geometric sequence

2, -6, 18, -54, ...

Here:

A geometric sequence has a constant difference 'r' and is defined by  

computing the differences of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

now substituting and in the nth term of the sequence

now substituting n = 5 to determine the 5th term

now substituting n = 6 to determine the 6th term

now substituting n = 7 to determine the 7th term

Therefore, we conclude that:

Hence, option D is correct.

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