19,27,62,161,387,825 what will be the next number of following series
Answers
Answer:
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Given : Correct Question is:
19,27,62,161,385,825
To Find : Next number in the sequence
Solution:
19
19 + 2³ = 27
27 + 2³ + 3³ = 62
62 + 2³+3³+4³ = 161
161 + 2³ + 3³ + 4³ + 5³ = 385
385 + 2³ + 3³ + 4³ + 5³ + 6³ = 825
825 + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ = 1608
1608 will be the next number
Tₙ = Tₙ₋₁ + ∑k³ ( k is from 2 to n) where T₁ = 19
Another way to understand
19 27 62 161 387 825 1608
8 35 99 224 440 783
27 64 125 216 343
3³ 4³ 5³ 6³ 7³
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