find the missing number :7,15,28,59,114,?
Answers
Given:
The series is 7, 15,28, 59, 114 _
To find:
Missing number.
Solution:
Form the series : 7, 15, 28, 59, 114, _
We can form a pattern that the above numbers are following,
7 × 2 + 1 = 15
15 × 2 -2 = 28
28 × 2 + 3 = 59
59 × 2 - 4 = 114
114 × 2 + 5 = 233
Here, each number in the series is being multiplied by 2. This is followed by a pattern of alternate addition and subtraction of numbers.
The final series become,
7, 15, 28, 59, 114, 233
Therefore, the missing number is 233.
233 is the missing number
7,15,28,59,114, 233 is the next number in the series
Step-by-step explanation:
Given:
7,16,44,129,385,?
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, (x₁×2)+1⇒x₂, (x₂×2)-2⇒x₃, (x₃×2)+3⇒x₄, (x₄×2)-4⇒x₅, (x₅×2)+5⇒x₆.
x₁=7
The first number 7 is multiplied by 2 and added with 1. Thus we get 15, the second number.
7 ⇒15
⇒(7×2)+1
⇒14+1
x₂ ⇒15
The second number 15 is multiplied by 2 and subtracted from 2. Thus we get 28, the third number.
15⇒28
⇒(15×2)-2
⇒30-2
x₃ ⇒28
The third number 28 is multiplied by 2 and added with 3. Thus we get 59, the fourth number.
28⇒59
⇒(28×2)+3
⇒56+3
x₄⇒59
The fourth number 59 is multiplied by 2 and subtracted from 4. Thus, we get 114, the fifth number.
59⇒114
⇒(59×2)-4
⇒118-4
x₅⇒114
The fifth number 114 is multiplied by 2 and added from 5. Thus we get 233 the sixth number.
The next number in the series is
114⇒?
⇒(114×2)+5
⇒228+5
x₆ ⇒233
Hence,
The next number in the series is 233.
7,15,28,59,114, 233