Question

Find the values of ? in following series.

1. 840, 168, 42, 14, 7, ?
2. 5, 7, 10, 15, 22, ?
3. 1, 3, 3, 6, 7, 9, ?, 12, 21

I need solution along with logic​

Answer 1

$\Large\bold{\underline{\underline{Answer:-}}}$

$\Large\bold{\boxed{7,33, 13}}$

$\rule{200}{4}$

$\bf\small\bold{\underline{\underline{Step-By-Step\:Explanation:-}}}$

1.

840/5 = 168

168/4 = 42

42/3 = 14

14/2 = 7

7/1 = 7

Here previous number is divided by succeeded number

Hence 7 is the answer

____________________________

2.

5 + 2 = 7

7 + 3 = 10

10 + 5 = 15

15 + 7 = 22

22 + 11 = 33

Here previous number is added by prime number

Hence, 33 is the next in series

____________________________

3.

1 + 2 = 3

3 + 4 = 7

7 + 6 = 13

13 + 8 = 21

Here, 1st place number is added by 2 to get 3rd place

Similarly 3rd place is added by 4 to get 5th place and so on

Hence, 13 is the missing number

Answer 2

$\huge{\underline{\underline{........Solution .........}}}$

1.

840/5=168

168/4=42

42/3=14

14/2=7

Since above numbers are divided by the succeeded number,

7 is the answer.

_______________________________________________________☢

2.

5+2=7

7+3=10

10+5=15

15+7=22

22+11=33

Since above numbers are added by prime numbers,

33 is the next series.

_____________________________________________________________☢

3.

1+2=3

3+4=7

7+6=13

13+8=21

Here, first place order is added by 2 to get third place and third place number is added by 4 to get fifth place and so on.

Hence, 13 is the missing number.