next series of 36,39,51,?,126,201
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next series of 36,39,51,?,126,201
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The missing number in the series should be 78
Step-by-step explanation:
Given: 36, 39, 51, ?, 126, 201
Find: The missing number in the series.
Solution:
36 + (1 * 3) = 39
39 + (2 * 6) = 51
The missing number in the series should be 78. Explanation given below:
51 + (3 * 9) = 78
Based on the number being 78, find the pattern of the rest of the series below:
78 + (4 * 12) = 126
126 + (5 * 15) = 201
Given : 36,39,51,?,126,201
To find : Missing number & Next Number
Solution:
36
36 + 3 * 1² = 36 + 3 = 39
39 + 3 * 2² = 39 + 12 = 51
51 + 3 * 3² = 51 + 27 = 78
78 + 3 * 4² = 78 + 48 = 126
126 + 3 * 5² = 126 + 75 = 201
201 + 3 * 6² = 201 + 108 = 309
Missing Number = 78
Next Number = 309
Logic is that
Tₙ₊₁ = Tₙ + 3 * n² and T₁ = 36
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