13,47,17,43,19,41,23,37,29 find the next number
Answers
51 is next number.
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Given:
13,47,17,43,19,41,23,37,29
To Find:
Find the next term
Solution:
We are given a series with a defined pattern and we need to find the defined pattern and then find the missing value of the given series.
To find the pattern of a series there is no defined rule but we have to identify it ourselves using our reasoning power, we can add, subtract, see the square, square root and combinations of many such operations to find the defined pattern.
The given series is,
13,47,17,43,19,41,23,37,29
In this series from the 1st term and alternative terms after that, the numbers are consecutive increasing prime numbers,
13,17,19,23,29
and from 2nd and alternative terms after that are also prime numbers but decreasing consecutive prime numbers,
47,43,41,37
So the next term will follow the pattern for the decreasing one case,
so after 37 will come 31 as a prime number.
Hence, the next term is 31.