Find out the next two numbers in the series.
3, 9 , 33 ,129, 513, _ , _ ,...................
Answer
Tn = (2 ^ m)+ 1 where m - nth odd number (1,3 , 5 ,7,...........)
T1 = (2 ^ 1) +1 = 3
T2 = (2 ^ 3) +1 = 9
T3 = (2 ^ 5) +1 = 33
T4 = (2 ^ 7) +1 = 129
T5 = (2 ^ 9) +1 = 513
T6 = (2 ^ 11) +1 = 2049
T7 = (2 ^ 13) +1 = 8193
3, 9 , 33 ,129, 513, 2049 , 8193 ,...................
3, 9 , 33 ,129, 513, _ , _ ,...................
Answer
T1 = (2 ^ 1) +1 = 3
T2 = (2 ^ 3) +1 = 9
T3 = (2 ^ 5) +1 = 33
T4 = (2 ^ 7) +1 = 129
T5 = (2 ^ 9) +1 = 513
T6 = (2 ^ 11) +1 = 2049
T7 = (2 ^ 13) +1 = 8193
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