Find missing number in series 2,15,80,?,2030,10155
Answers
Step-by-step explanation:
2,15,41,80,?,2030,10155
The pattern is + 13, + 26, + 39,...
.'. Missing number = 80 + 52 = 132.
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405 is the missing number in the series.
2,15,80,405,2030,10155
Step-by-step explanation:
Given:
2,15,80,?,2030,10155
To find:
The missing 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+(13×1))⇒x₂, (x₂+(13×5))⇒x₃, (x₃+(65×5))⇒x₄, (x₄+(325×5))⇒x₅, (x₅+(1625×5)⇒x₆.
The pattern of this series is the difference between the first number and the second number is 13. Thus the next number will be added with (13×5=65) and the next number will be added with (65×5=325) and so on.
The first number x₁=2
2⇒15
⇒2+13
x₂ ⇒15
The second number 15 is obtained by adding the first number 2 with 13. Thus we get 15, the second number.
15⇒80
⇒15+(13×5)
⇒15+65
x₃⇒80
The third number 80 is obtained by adding the second number 15 with (13×5). Thus we get 80, the third number.
80⇒?
⇒80+(65×5)
⇒80+325
x₄⇒405
The fourth number 405 is obtained by adding the third number 80 with (65×5). Thus, we get 405, the fourth number.
405⇒2030
⇒(129×2)-2
⇒258-2=256
⇒256+129
x₅⇒386
The fifth number 2030 is obtained by adding the fourth number 405 with (325×5). Thus, we get 2030, the fifth number.
The next number in the series is
2030⇒10155
⇒2030+(1625×5)
⇒2030+8125
x₆ ⇒10155
The sixth number 10155 is obtained by adding the fifth number 2030 with (1625×5). Thus, we get 10155 the sixth number.
Hence,
The missing number in the series is 405.
2,15,80, 405,2030,10155