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| Math Central | Quandaries & Queries |
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Question from Richard, a student: Dear Sir/ madam, This is my question about sequences. 1/2, -3/4, 9/8, -27/16 Plz help me solve the question! Richard |
Hi Richard,
In this sequence the numerators are powers of 3 (with alternating signs) and the denominators are powers of 2. Ignoring the alternating sign the numerators and denominators are
term number 1 2 3 4 ··· n numerator 30 31 32 33 ··· denominator 21 22 23 24 ···
What values belong in the n column? To include the alternating sign multiply by (-1)n or (-1)n+1, whichever one works.
I hope this helps,
Penny
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