Question

find the next number of the following series 5 6 5 13 9 36 27 91​

Answer 1

Find the next number of the following series 5, 6, 5, 13, 9, 36, 27, 91, 75

Step-by-step explanation:

The given number of series follows a sequence of addition and subtraction of sqaures and cubes of 1,2,3, and 4.

Here is the pattern followed:

5 + 1(1³) =6

6 – 1(1²) =5

5 + 8(2³) =13

13 – 4(2²) =9

9 + 27(3³) =36

36 – 9(3²) =27

27 + 64(4³) =91

Following the same pattern for the last number in the series "91"

91 – 16(4²) =75

The next number in the given series is 75.

Answer 2

Given :- find the next number of the following series 5 6 5 13 9 36 27 91 ?

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=?

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Complete the series:

D3Y104, G9U91, J27078, M81 M65

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46,38,42,26

29,44,36,28

12, 11, 14, 12

121,342,? 60

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