11,61,299,1189,？find the value
Answers
Answer:
3559
Step-by-step explanation:
11*6-5=61,61*5-6=299,299*4-7=1189,1189*3-8=3559
3559 is the next number in the series
11,61,299,1189 ,3559
Step-by-step explanation:
Given:
11,61,299,1189,?
To find:
The next number in the series
Solution:
- This series is a numerical sequence in which the numbers are arranged in an orderly manner makes a sequence.
- The pattern is (x₁,x₂,x₃,x₄,x₅,x₆) are the numbers in the series thus x₁, (x₁×6)-5⇒x₂, (x₂×5)-6⇒x₃, (x₃×4)-7⇒x₄, (x₄×3)-8⇒x₅.
The pattern of this series is the first number is multiplied by 6 and subtracted by 5. Thus we get 61.
11⇒61
⇒(11×6)-5
⇒(66-5)
⇒61
The second number 61 is multiplied by 5 and subtracted from 6. Thus we get 299 the third number.
61⇒299
⇒(61×5)-6
⇒305-6
⇒299
The third number 44 is multiplied by 4 and subtracted from 7. Thus we get 1189 the fourth number.
299⇒1189
⇒(299×4)-7
⇒(1196-7)
⇒1189
The fourth number 1189 is multiplied by 3 and subtracted from 8. Thus we get 385 the fifth number.
1189⇒?
⇒(1189×3)-8
⇒3567-8
⇒3559
The next number in the series is 3559
Hence,
The next number in the series is 3559.