Answer this
2,4,7,12,19,30,43,?,.................so on
Answers
Explanation :- This actually the prime number series
The first number is added with the first prime number and the second term of the series is added by the second prime number and so on .
43 is added by 17 t which is also as prime number.
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2, 7, 12, 19, 30, 43, 60, 79, 102, 131, ... ...
Concept to be used:
Prime numbers. A Natural Number (>1) which is divisible by 1 and itself, is called a Prime Number.
For example, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ... ... .
Step-by-step explanation:
The given sequence is
2, 4, 7, 12, 19, 30, 43, ... ...
Here, 2nd number - 1st number = 4 - 2 = 2,
3rd number - 2nd number = 7 - 4 = 3,
4th number - 3rd number = 12 - 7 = 5,
5th number - 4th number = 19 - 12 = 7,
6th number - 5th number = 30 - 19 = 11,
7th number - 6th number = 43 - 30 = 13,
... ...
So, the obtained subtracted values are 2, 3, 5, 7, 11, 13, ... and from this we can conclude that each next number is found by adding the previous number and an appropriate Prime Number.
8th number = 7th number + 17 = 43 + 17 = 60
9th number = 8th number + 19 = 60 + 19 = 79
10th number = 9th number + 23 = 79 + 23 = 102
11th number = 10th number + 29 = 102 + 29 = 131
... ...
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