Question

Find the missing numbers in the following series. 1, 16, 1, 25, 2, 36, 3, ?, ?, 64, 8​

Answer 1

Answer:

7 and8 are the missing number

Answer 2

The given question is we have to find the missing numbers in the following series.

The series is 1, 16, 1, 25, 2, 36, 3,?,? 64, 8.

The number locates at the odd position follows one logic and the numbers located at the even position follow another logic.

The numbers in the odd sequence are

1,1,2,3,? 8.

The numbers in the even sequence are

16,25,36,? 64

The odd sequence seems to follow a Fibonacci concept.

The Fibonacci series is a series where the consecutive term is obtained by the addition of the previous two terms.

$1 = 1 \\ 1 + 1 = 2 \\ 2 + 1 = 3 \\ 3 + 2 = 5 \\ 5 + 3 = 8 \\ 8 + 5 = 13$

Therefore, the correct series is 1,1,2,3,5,8,13.

For the even sequence, they follow the concept of squares of numbers starting from the digit 4.

Therefore, the series will be

${4}^{2} = 16 \\ {5}^{2} = 25 \\ {6}^{2} = 36 \\ {7}^{2} = 49 \\ {8}^{2} = 64 \\ {9}^{2} = 81$

Therefore, the even series will be 16,25,36,49,64,81.

By merging the two series we get

1,16,1,25,2,36,3, 49,5,64,8,13.

Therefore, the missing term in the given question is 49 and 5.

#spj2