16,26,69, 247.5,? What is next
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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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