Answer: 7 is the common ratio for the given sequence.
How to find common ratio of a geometric progression?
Explanation:
The common ratio of geometric sequence can be obtained by dividing any two consecutive terms, that is: [tex]\frac{A_{n+1} }{A_{n} }[/tex]
In the given series, 3, 21, 147, 1029
Clearly the given sequence is in geometric progression as:
[tex]\frac{21}{3}=7\\\\\\frac{147}{21}=7\\\\\frac{1029}{147}=7[/tex]
Hence, the next number is obtained by multiplying the previous by 7.
Therefore, the common ratio is 7.
To learn more about the geometric progression, refer:
https://brainly.com/question/24643676
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