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
Answers
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
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.