3/4, 1/4, 1/12, 1/36 what is the next number in the sequence? I tried using 36 as common denominator but that seems wrong. Can you help me get the answer and explain how it was done. PLEASE HELP
sequence is : 3/4 , 1/4, 1/12, 1/36
= 27/36 , 9/36, 3/36, 1/36, ...
= (1/36){ 27, 9, 3, 1, ......}
can you see the pattern in 27, 9, 3, 1, .... ??
(3/4) * (1/3) = 3/12 = 1/4
(1/4) * (1/3) = 1/12
(1/12) * (1/3 = 1/36
(1/36) * (1/3) = ?
To find the next number in the sequence, let's try to identify a pattern.
The given sequence is 3/4, 1/4, 1/12, 1/36.
Looking at the denominators, we can observe that they are powers of 4. So, it seems that we are dividing a number by a power of 4 to get the subsequent term.
Let's try to use this pattern to find the next term.
The denominator of the given sequence is 4 to the power of 0, 4 to the power of 1, 4 to the power of 2, 4 to the power of 3.
To find the next term, we can continue this pattern by dividing the previous term by 4 to the power of 4.
1/36 divided by 4 to the power of 4 is:
1/36 ÷ 4^4 = 1/36 ÷ 256 = 1/9216
Therefore, the next number in the sequence is 1/9216.
To find the next number in the sequence 3/4, 1/4, 1/12, 1/36, we need to look for a pattern or a rule that governs the sequence.
First, let's examine the denominators. The sequence starts with 4 as the denominator, then decreases to 12, and finally to 36. Notice that each subsequent denominator is obtained by multiplying the previous denominator by 3.
Now, let's look at the numerators. The sequence starts with 3 as the numerator, decreases to 1, and then decreases again to 1. Notice that each numerator is always 1.
Based on the pattern observed, we can infer that the next denominator should be obtained by multiplying the current denominator (36) by 3. Therefore, the next denominator is 36 * 3 = 108.
Since the pattern shows that the numerator is always 1, we can conclude that the next number in the sequence is 1/108.
So, the next number in the sequence is 1/108.