Math, asked by uma8863, 1 day ago

Find the series 11, 13, 19, 49, 109, 239,?​

Answers

Answered by suraimhussain
2

the next series will be 241

Answered by RvChaudharY50
3
  • The next number in the given series will be 449 .

To Find :- Next number in the series :- 11, 13, 19, 49, 109, 239, ?

Logic :-

  • Next number - Previous number = Alternatively n³ + n and n³ - n .

Explanation :-

given series is 11, 13, 19, 49, 109 and 239 .

So,

→ 13 - 11 = 2 => 1³ + 1 = 1 + 1 = 2

→ 19 - 13 = 6 => 2³ - 2 = 8 - 2 = 6

→ 49 - 19 = 30 => 3³ + 3 = 27 + 3 = 30

→ 109 - 49 = 60 => 4³ - 4 = 64 - 4 = 60

→ 239 - 109 = 130 => 5³ + 5 = 125 + 5 = 130

then,

→ Next number - Previous number = 6³ - 6

→ Next number - 239 = 216 - 6

→ Next number - 239 = 210

→ Next number = 210 + 239

→ Next number = 449 (Ans.)

therefore, the next number in the series will be 449 .

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