Find the series 11, 13, 19, 49, 109, 239,?
Answers
the next series will be 241
- 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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