What will be the next number in sequence.
a)1,5,9,13,17,21,___.
b)2,7,12,17,22,___.
c)2,6,12,20,30,___.
d)1,2,3,5,8,13,___.
​e)1,3,6,10,15,____.

Dear student
a) 1,5,9,13,17,21,?Pattern is: 1-5=-45-9=-49-13=-413-17=-417-21=-421-x=-421+4=xx=25So, 1,5,9,13,17,21,25b) 2,7,12,17,22,?Pattern is:2-7=-57-12=-512-17=-517-22=-522-x=-522+5=xx=27So, 2,7,12,17,22,27c) 2,6,12,20,30,?2+4=66+6=1212+8=2020+10=3030+12=42So, 2,6,12,20,30,42
similarly try other parts.
Regards

  • 1
a]25 b]27 c]42 d]don't know sorry e]21
method
a] 1 and 5 . their difference is 4.5 and 9 .Their difference is also 4.You can find out like this the answer for a.

b]same as a] .They have 5 as their difference.

c]This is according to even numbers.2 and 6.diffence is 4 .next pair you take the difference will be 6.
d]DON'T know

e]1 and 3 .Their difference is 2.3 and 6.Their difference is 3.the order and their differences will increase like this.


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  • -3
a)25   
b)27
c)42
d)don't know
e)21
  • -1
25

 
  • 2
25
27
42
whatever
21
  • -3
Dear student
A) 25 ( add 4)
B)27 ( add 5)
C) 42 ( add 4,6,8,10,12 respectively)
D) 21 ( add the first digit to second to get third and so on)
E) 21( add 2,3 4,5,6)

Hope it helps
  • 1
see the pattern for the D
1+1 =2,2+1 =3,3+2 = 5,5+3=8,8+5 =13 , 13 +8 = 21

It is called fibbonacci pattern found by Leonardo Fibbonacci.
  • 1
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