Question

111 129 183 345 831 ​

Answer 1

Given  : 111 129 183 345 831 ​

To Find : Next number in Sequence

2389

2379

2229

2289

Solution:

111  

111 +  2*3²   = 111 + 2*9  = 111 + 18 =  129

129 + 2*3³  = 129 + 2 * 27 = 129 + 54 =  183

183 + 2*3⁴  = 183 + 2*81 = 183 + 162  = 345       (54 x 3)    

345 + 2*3⁵  = 345 + 2 * 243  = 345 + 486 = 831

831 + 2*3⁶  = 831 + 2 * 729  = 831 + 1458=  2289

Next number = 2289

Sequence  is   Tₙ = Tₙ₋₁  + 2*3ⁿ   where T₁ = 111

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