Q. Find the missing number in the following series?
3, 5, 5, 19, 7, 41, 9, ?
A) 71
B) 61
C) 79
D) 69
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Answer:
The answer is A) 71
Step-by-step explanation:
The odd terms of the sequence are 3,5,7,9 ,………
even terms are 5,19,41……..
5=(3*2)-1.
19=(5*4)-1
41=(7*6)-1
The rule to find an even term is [{preceding term*(preceding term-1)}-1]
Or equivalently
When n is even
nth term={(n+1)n}-1
Hence the next term which is 8 th term =9*8–1=71
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