1 2 4 7 12 20 33 find next number
Answers
Answer:
54 is the right answer
Step-by-step explanation:
1+1=2
2+1+1=4
4+2+1=7
7+4+1=12
20+12+1=33
33+20+1=54
so 54 is the right answer
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Given:
A sequence: 1, 2, 4, 7, 12, 20, 33
To find:
The next number in the sequence
Solution:
The next number in the sequence is 54.
We can find the number by following the given steps-
We know that the given sequence is based upon a pattern in which a number is formed by adding two previous numbers and 1.
The sequence is as follows-
1, 2, 4, 7, 12, 20, 33
Each of these numbers is formed by adding the last two numbers and 1.
1=0+1
2=0+1+1
4=2+1+1
7=4+2+1
12=7+4+1
20=12+7+1
33=20+12+1
Similarly, the next term would be obtained by adding 33, 20, and 1.
Let the next term be X.
X=33+20+1
X=54
Therefore, the next number in the sequence is 54.