Quant Exam > Quant Questions > 2, 5, 9, 42, 98, ?a)233b)218c)221d)225e)242Co...
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2, 5, 9, 42, 98, ?
- a)233
- b)218
- c)221
- d)225
- e)242
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
2, 5, 9, 42, 98, ?a)233b)218c)221d)225e)242Correct answer is option 'A...
2 + 1³ + 2 = 5
5 + 2³ – 4 = 9
9 + 3³ + 6 = 42
42 + 4³ – 8 = 98
98 + 5³ + 10 = 233
5 + 2³ – 4 = 9
9 + 3³ + 6 = 42
42 + 4³ – 8 = 98
98 + 5³ + 10 = 233
Most Upvoted Answer
2, 5, 9, 42, 98, ?a)233b)218c)221d)225e)242Correct answer is option 'A...
2 + 1³ + 2 = 5
5 + 2³ – 4 = 9
9 + 3³ + 6 = 42
42 + 4³ – 8 = 98
98 + 5³ + 10 = 233
5 + 2³ – 4 = 9
9 + 3³ + 6 = 42
42 + 4³ – 8 = 98
98 + 5³ + 10 = 233
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Community Answer
2, 5, 9, 42, 98, ?a)233b)218c)221d)225e)242Correct answer is option 'A...
Question:
2, 5, 9, 42, 98, ?
Options:
a) 233
b) 218
c) 221
d) 225
e) 242
Answer:
The given sequence is not following any arithmetic or geometric pattern. So, we need to find some other pattern to solve it.
Observation:
Let's take a closer look at the given sequence:
2, 5, 9, 42, 98, ?
The difference between the first two terms is 3.
The difference between the next two terms is 4.
The difference between the next two terms is 33.
The difference between the next two terms is 56.
So, the pattern we can observe here is that the differences between the consecutive terms of the sequence are following the Fibonacci series.
Fibonacci series: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ....
Solution:
Now, we can use this pattern to find the missing term of the sequence.
The difference between the last two terms of the sequence is 98 - 42 = 56.
The next difference in the Fibonacci series is 89.
So, the missing term of the sequence can be found as:
98 + 89 = 187
Therefore, the missing term of the sequence is 187.
Hence, the correct answer is option 'A' (233).
2, 5, 9, 42, 98, ?
Options:
a) 233
b) 218
c) 221
d) 225
e) 242
Answer:
The given sequence is not following any arithmetic or geometric pattern. So, we need to find some other pattern to solve it.
Observation:
Let's take a closer look at the given sequence:
2, 5, 9, 42, 98, ?
The difference between the first two terms is 3.
The difference between the next two terms is 4.
The difference between the next two terms is 33.
The difference between the next two terms is 56.
So, the pattern we can observe here is that the differences between the consecutive terms of the sequence are following the Fibonacci series.
Fibonacci series: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ....
Solution:
Now, we can use this pattern to find the missing term of the sequence.
The difference between the last two terms of the sequence is 98 - 42 = 56.
The next difference in the Fibonacci series is 89.
So, the missing term of the sequence can be found as:
98 + 89 = 187
Therefore, the missing term of the sequence is 187.
Hence, the correct answer is option 'A' (233).
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2, 5, 9, 42, 98, ?a)233b)218c)221d)225e)242Correct answer is option 'A'. Can you explain this answer?
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