9,25,46,73,107,? What is ?
Answers
Step-by-step explanation:
this question's answer is 149
149 is the next number in the series.
9,25,46,73,107, 149
Step-by-step explanation:
Given:
9,25,46,73,107,.
To find:
The next number in the series
Solution:
This series is a numerical sequence in which the numbers are arranged orderly and make a sequence.
The pattern is (x₁,x₂,x₃,x₄,x₅,x₆) are the numbers in the series thus x₁, (x₁+16)⇒x₂, (x₂+21)⇒x₃, (x₃+27)⇒x₄, (x₄+34)⇒x₅, (x₅+42)⇒x₆.
The series is in the format of (16+5=21, 21+6=27,27+7=34, 34+8=42),the added numbers (16,21,27,34,42) gets sequentially added with (5,6,7,8).
x₁=9
The first number 9 is added with 16. Thus we get 25, the second number x₂.
9 ⇒25
⇒9+16
x₂⇒25
The second number 25 is added with 21. Thus we get 46 the third number.
25⇒46
⇒25+(16+5=21)
⇒25+21
x₃ ⇒46
The third number 46 is added with 27. Thus we get 73, the fourth number x₄.
46⇒73
⇒46+(21+6=27)
⇒46+27
x₄⇒73
The fourth number 73 is added with 34. Thus, we get 107, the fifth number x₅.
73⇒107
⇒73+(27+7=34)
⇒73+34
x₅ ⇒107
The fifth number 107 is added with 42. Thus we get 149, the sixth number x₆.
The next number in the series is
107⇒?
⇒107+(34+8)
⇒107+42
x₆⇒149
Hence,
The next number in the series is 149.
9,25,46,73,107, 149