Complete the following sequence:25,27,32,43,,60,83,?
Answers
Thanks for the question!
It is definitely a very interesting question to solve and do some brainstorming.
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The sequence is 25, 27, 32, 43, 60, 83, -----
we can see that the difference among above numbers is 2, 5, 11, 17, and 23.
After 2 next prime numbers are 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 etc.
In above sequence, alternate numbers 5, 11, 17, 23 and 31, are added to resulting numbers as follows----
25,
27(25 +2),
32(27 + 2),
43(32 + 11),
60(43 + 17),
83(60 + 23),
114(83 + 31)
Therefore, the ans is 114.
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Hope it helps and solves your query!!
Given:
The sequence, 25, 27, 32, 43, 60, 83, ?
Solution:
The difference pattern: 2, 5, 11, 17, 23,..
Consider prime numbers,
..2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31,.
The alternate digits of the prime number series are added to the numbers in the sequence.
That is,
25 + 2 = 27
27 + 5 = 32
Hence,
83 + 31 = 114
The sequence is 25, 27, 32, 43, 60, 83, 114, ..