Which number will replace the question mark (?) in the following series?
5, 9, 18, 43, 92, 213, 382, ?
Answers
Step-by-step explanation:
the answer will be 607 of your question
The next number should be 671.
Step-by-step explanation:
Consider the provided series.
5, 9, 18, 43, 92, 213, 382, ?
Observe the pattern.
Here the pattern is, the difference between the term is the square of next prime number.
9-5 = 4 = (2)² ------- 2 is the first prime number.
18-9 = 9 = (3)² ------- 3 is the second prime number.
43-18 = 25 = (5)² ------- 5 is the third prime number.
92-43 = 49 = (7)² ------- 7 is the 4th prime number.
213-92 = 121= (11)² ------- 11 is the 5th prime number.
382-213 = 169= (13)² ------- 13 is the 6th prime number.
Hence, the next difference should be 289 = 17² as 17 is the 7th prime number.
382+289=671
Hence, the next number should be 671.
#Learn more
https://brainly.in/question/12540407
Which number will replace the question mark in the given series
4,10,18,38, ? ,150