complete the pattern 23,35,57,711,1113,?
Please explain also
Answers
Answered by
14
Answer:
1317
Explanation:
The pattern contains consecutive prime numbers in order. In the first place, 2 and 3 are prime numbers. In the second place, 3 and 5 are prime numbers. Similarly, in the third place 5 and 7 are prime numbers.
Answered by
0
Answer:
The complete pattern is 23, 35, 57, 711, 1113, 1319, 1923,2329 ....
Step-by-step explanation:
The Given pattern is : 23,35,57,711,1113
- each number in this patter is generated by concatenating two different number.
- First number of the pattern is 23 whose 1st number is 2 and 2nd number is 3
- From 23 we can generate the 2nd number of the pattern by the following way:
Step1: The 1st number of the new number = Next prime number of 1st number of previous number
Step2: The 2nd number of the new number = Next prime number of the 1st number of new number
- Using step1, we get 3 as the 1st number of new number and using step2, we get 5 as the 2nd number of the new number.
Hence the new number is 35.
- Similarly, 3rd number of the pattern is 57:
3 5 --> 5 7
- The number in the pattern after 57 is 711:
5 7 --> 7 11
- After 711 is 1113:
7 11 ----> 11 13
- Hence after 1113 , it is 13 19 0r 1319
so, the complete pattern is 23,35,57,711,1113,1319,1923.......
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