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Find the 10th term of the GP : 12, 4, 3, 4

User Meistro
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1 Answer

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Final answer:

The sequence provided is not a geometric progression because the ratio between consecutive terms is not constant; hence, the formula for finding the nth term of a GP cannot be applied.

Step-by-step explanation:

In a geometric progression (GP), the ratio between consecutive terms remains constant, distinguishing it from other types of sequences. The sequence provided (12, 4, 3, 4) lacks a consistent ratio between terms, making it non-geometric. The formula T(n) = ar^(n-1) is specifically designed for GPs, where 'a' is the first term, 'r' is the common ratio, and 'n' is the term number.

Since the given sequence deviates from a constant ratio, the application of the GP formula is inappropriate. Finding the 10th term using this formula is only valid when dealing with true geometric progressions. For non-geometric sequences, alternative methods, such as identifying patterns or using specific properties of the sequence, must be employed to determine the terms or characteristics of the sequence.

User Danieltmbr
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