Revizit
Question : 7
Look carefully for the pattern, and then choose which number comes next.
10.10.14,32,80,180,
Answers
Answered by
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Given : 10,10,14,32,80,180?
To find : Missing number
Solution:
10
10 + 0 * 1² = 10 + 0 = 10
10 + 1 * 2² = 10 + 4 = 14
14 + 2 * 3² = 14 + 18 = 32
32 + 3 * 4² = 32 + 48 = 80
80 + 4 * 5² = 80 + 100 = 180
180 + 5*6² = 180 + 180 = 360
Next number is 360
Logic is
Tₙ₊₁ = Tₙ + (n-1)n² where T₁ = 10
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