Question
Describe the pattern in the numbers. Write the next number in the pattern.
3,1,
…
Hint:
Find the common ratio between each term.
The correct answer is: So the sequence is 3,1,1 over 3 to the power of straight prime 1 over 9 to the power of straight prime 1 over 27
Complete step by step solution:
This is a geometric sequence since there is a common ratio between each
term. Here on multiplying the previous term of the sequence by 
, we get the
next term.
That is, 
Here we have the first term to be 3. On multiplying the first term with , we get the
second term, that is .
On multiplying the second term with , we get the third term, that is .
Again on multiplying the third term with , we get the fourth term, that is .
So, the common ratio between each term in this sequence is .
So, next term would be 
So the sequence is 3,1,
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