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Find the missing term in the geometric sequence. 6,[?], 2/3

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User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To find the missing term in the geometric sequence, we need to find the common ratio (r) between the terms.

We can find the common ratio by dividing any term in the sequence by its previous term.

r = (2/3) / 6
r = 1/9

Now we can find the missing term by multiplying the second term by the common ratio.

Second term = 6 * (1/9)
Second term = 2/3

Therefore, the missing term in the geometric sequence is 2/3.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the missing term in the geometric sequence, we need to determine the common ratio. We can do this by dividing any term by the previous term.

The ratio between the second term and the first term is:

? / 6 = 2/3

To solve for the missing term, we can cross multiply:

3 * ? = 6 * 2
3 * ? = 12
? = 12 / 3
? = 4

Therefore, the missing term in the geometric sequence is 4.