Question

10,10,14,32,80,?
What is the missing number

Answer 1

Given :   10,10,14,32,80,?

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

missing number is 180

Logic   is  

Tₙ₊₁ = Tₙ +  (n-1)n²    where T₁  = 10

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