CBSE Class 7 Mathematics Question 9 of 11

Number Play — Question 9

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9
Question
What is the parity of the 20th term of the Virahanka sequence?
Answer

Consider the Virahanka sequence given below: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987,….. Let us observe the pattern of odd/even in Virahanka numbers given above: Here 1 → odd 2 → even 3 → odd 5 → odd 8 → even 13 → odd 21 → odd 34 → even So parity cycle is: odd, even, odd, (repeats every 3 terms) So the 20th term of the Virahanka sequence is even.