Question

16,26,69, 247.5,? What is next​

Answer 1

Given : 16,26,69, 247.5,?

To Find : next term

Solution :

16,26,69,247.5

16

16 * 1.5  +  2  = 24 + 2 = 26

26 * 2.5  + 4 = 65 + 4  = 69

69 * 3.5 +  6  = 241.5 + 6 = 247.5

247.5 * 4.5 + 8 = 1113.75 + 8 = 1121.75

1121.75 is the next term

Logic is :

Multiplication with previous number with 1.5 , 2.5 , 3.5 and so on

+ addition of 2 , 4 , 6 , 8 and so on

Tₙ₊₁ = ₙ * (ₙ + 0.5)  + 2ₙ   n > 0 integer , where T₁ = 16

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