Explanation

5, 2, 7, 9, 16, 25, ?

5 + 2 = 7

7 + 2 = 9

9 + 7 = 16

16 + 9 = 25

25 + 16 = 41

∴∴ the answer is 41.

Explanation

The sum of odd integers from 1 to 100 are - 1 + 3 + 5 + 7 + ……… + 99.

This is an Arithmetic Progression with the following parameters: First Number, a = 1 Last Number, l = 99 Common Difference, d = 2 So, the Number of terms in the Arithmetic Progression, n = (l - a)/d + 1 = (99 - 1)/2 + 1 = 98/2 + 1 = 49 + 1 = 50 So, the sum of the Arithmetic Progression, S = n/2(l + a) = 50/2(99 + 1) = 25 X 100 = 2500 So, the sum of odd integers from 1 to 100 = 2500

Explanation

The pattern alternates between adding 5 and subtracting 2:

25 + 5 = 30

30 - 2 = 28

28 + 5 = 33

33 - 2 = 31

So, the next step is to add 5: 31 + 5 = 36.

The correct answer is  36

Explanation

There is a ×2 and +2 loop.

See, 3×2= 6+2= 8×2= 16+2= 18×2= 36

Explanation

Sequence 5,14,27,44,65... to get

14 / 5 + 9. 27 / 14 + 13. 44 / 27 + 17. 65 / 44 + 21.

so the next number will be 65 + 25 = 90math

Explanation

• The next number in the series appears to be 41.
• The pattern seems to be increasing by 1, then 2, then 3, then 4, and so on.

Explanation

Explanation

6 + 6 = 12

12 + 9 = 21

21 + 12 = 33

33 + 15 = 48

Explanation

214 - 17 = 197

197 - 18 = 179

179 - 19 = 160

160 - 20 = 140

Explanation

To find the next number in the series 11, 14, 18, 21, let's analyze the pattern of differences:

• $14 - 11 = 3$
  
• $18 - 14 = 4$
  
• $21 - 18 = 3$
  

The differences alternate between +3 and +4.
Following this pattern:

• After $21$, add 4: $$21+4=25