What will be the next number in the following series? q) 11404, 11014, 10414, 1414,?

General
1

What will be the next number in the following series? q) 11404, 11014, 10414, 1414, ?

2

What will be the next number in the following series? q) 11404, 11014, 10414, 1414, ?

Answer:

To determine the next number in the series 11404, 11014, 10414, 1414, let’s examine the pattern:

  1. First Term (11404) to Second Term (11014):

    • Subtract 390 from 11404 to get 11014.
    • 11404 - 390 = 11014

  2. Second Term (11014) to Third Term (10414):

    • Subtract 600 from 11014 to get 10414.
    • 11014 - 600 = 10414

  3. Third Term (10414) to Fourth Term (1414):

    • Subtract 9000 from 10414 to get 1414.
    • 10414 - 9000 = 1414

Observing the pattern in the differences:

  • The difference between the first and second terms is 390.
  • The difference between the second and third terms is 600.
  • The difference between the third and fourth terms is 9000.

The differences are increasing by a factor of approximately 1.5 to 15 times each time:

  • 600 = 1.54 \times 390
  • 9000 = 15 \times 600

Following this pattern, we can predict the next difference will be approximately 15 times the previous difference of 9000:

  • Next difference = 9000 \times 15 = 135000

Hence, the next term in the series will be:

  • 1414 - 135000 = -133586

Therefore, the next number in the series is \boxed{-133586}.