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Find the next two terms in this sequence. 1 3 7 15 [?] 2'4'8' 16' T'I

User Orikoko
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1 Answer

3 votes

We will solve as follows:

*First: We identify the pattern, that is:


(3)/(4)-(1)/(2)=(1)/(4)
(7)/(8)-(3)/(4)=(1)/(8)
(15)/(16)-(7)/(8)=(1)/(16)

From this, we can see tat the pattern follows the rule:


((1)/(2))^(n+1)

So, the next terms of the sequence will be:


(15)/(16)+((1)/(2))^(4+1)=(31)/(32)

And the next one is:


(31)/(32)+((1)/(2))^(5+1)=(63)/(64)

And those are the next two terms of the sequence.

User El Hoss
by
8.3k points

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