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P and F are two different sequences, where each upcoming term in seque

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P and F are two different sequences, where each upcoming term in seque [#permalink] New post   13 May 2024, 03:07
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P and F are two different sequences, where each upcoming term in sequence P is twice the preceding term and each upcoming term in sequence F is three times the preceding term.
First terms for the two sequences are given as P1=5,F1=2.


Quantity A
Quantity B
Max. value of k for Pk>Fk, where Pk and Fk are the kth terms for the two sequences
4




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Re: P and F are two different sequences, where each upcoming term in seque [#permalink] New post   13 May 2024, 08:48
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Sequence P can be written as Pk=2∗Pk−1 and Sequence F can be written as Pk=3∗Pk−1.

Since P1=5, P2=2∗5=10,P3=2∗10=20,P4=2∗20=40

Since F1=2, F2=3∗2=6,F3=3∗6=18,F4=3∗18=54

Since 40 < 54, P4<F4. Thus, k must be less than 4 for P4>F4 to be true.
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Re: P and F are two different sequences, where each upcoming term in seque [#permalink]
13 May 2024, 08:48
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