Question

Find the next number of the following series. / ਦਿੱਤੀ ਲੜੀ ਦਾ ਅਗਲਾ ਪਦ ਪਤਾ ਕਰੋ। 5,6,5,13,9,36,27,91,? *

107

155

75

123

​

Answer 1

Given :- Find the next number of the following series. / ਦਿੱਤੀ ਲੜੀ ਦਾ ਅਗਲਾ ਪਦ ਪਤਾ ਕਰੋ। 5,6,5,13,9,36,27,91,? *

107

155

75

123...

Solution :-

Logic :- +1 , - 1 , + 8, - 4, + 27, - 9 _________

Explanation :-

→ 5 + (1)³ = 5 + 1 = 6

→ 6 - (1)² = 6 - 1 = 5

→ 5 + (2)³ = 5 + 8 = 13

→ 13 - (2)² = 13 - 4 = 9

→ 9 + (3)³ = 9 + 27 = 36

→ 36 - (3)² = 36 - 9 = 27

→ 27 + (4)³ = 27 + 64 = 91

→ 91 - (4)² = 91 - 16 = 75 (Ans.)

Hence, Next term in the series is 75 .

Learn more :-

1 2 3 4=10 9 3 4 14=222 9 10 12 11=?

https://brainly.in/question/21593610

Complete the series:

D3Y104, G9U91, J27078, M81 M65

https://brainly.in/question/23998090

46,38,42,26

29,44,36,28

12, 11, 14, 12

121,342,? 60

https://brainly.in/question/16981107

Answer 2

COMPLETE THE SERIES

Given :-

5, 6, 5, 13, 9, 36, 27, 91, ?

To Find :- The next number in the given series.

Solution :-

In order to find the next number in the series, we need to understand how the previous numbers in the series are occurring.

By observing it carefully, we can see that the second number is obtained by taking the cube of 1 and adding it to the previous number; third number is obtained by taking the square of 1 and subtracting it from the previous number. Same is to be continued by the consecutive numbers 2, 3, 4 and so on.

Let us understand it numerically.

• 5 + (1)³ = 5 + 1 = 6
• 6 - (1)² = 6 - 1 = 5
• 5 + (2)³ = 5 + 8 = 13
• 13 - (2)² = 13 - 4 = 9
• 9 + (3)³ = 9 + 27 = 36
• 36 - (3)² = 36 - 9 = 27
• 27 + (4)³ = 27 + 64 = 91
• 91 - (4)² = 91 - 16 = 75

We can see that the cube is added and the square is subtracted. Further numbers in the series can also be calculated in the same way.

Final Answer :-

Option (c) 75 is the correct answer.