Find the next number in the series 0,1,1,2,3,7,....
Answers
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24
Answer:
22
Step-by-step explanation:
the answer is 22, and check it out
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3
Given Data: 0, 1, 1, 2, 3, 7.
To Find: The next number in the series.
Solution:
- Patterns are the key to find answers that comes next by giving the lead in the previous statement.
- For example, 1,2,3,6,? - in this example the pattern is n1 + n2 = n3; 1+2=3, n1+n2+n3=n4 ; 1+2+3=6. To find the next number we need to follow the same pattern. n1+n2+n3+n4=n5; 1+2+3+6=12.
- The result is 1,2,3,6,12.. and goes on.
- Similarly the pattern for the given data,
0,1,1,2,3,7,? - 0 × 1 + 1 = 1 ; 1 × 1 + 1 = 2 ; 1 × 2 + 1 = 3 ; 2 × 3 + 1 = 7 ;
- To find the next number in this series the same pattern is followed.
- 3 × 7 + 1 = 22 ; 7 × 22 + 1 = 155 ; and goes on.
- Hence the next number in this series is 0, 1, 1, 2, 3, 7, 22, 155....
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