Pattern Recognition - 108

Find out the next two letters in the series.
a , b , e , c , i , d , o , _ , _ ,.................................

Answer

a , b , e , c , i , d , o , _ , _ ,.................................

Vowels       - a, e , i ,o , ............. Next letter - u
Consonants - b, c , d , ................ Next letter - f

Next two letters in the series u ,f

a , b , e , c , i , d , o , f , u ,.................................

Pattern Recognition - 107

Find out the next two numbers in the series.

4, 6 , 10,  14,  22,  26 , 38, 46 ,_ ,_ ,......................

Answer

Tn = (2 * m) where m - nth prime number
Prime number series
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,..........

Oops, There was a mistake. 34 (17 * 2)was missed out in the original series(Question).

T1= 2 * 2 =4
T2 =2 * 3 =6
T3= 2 * 5 =10

T10 =2 *29 =58
T11=2 *31  = 62

4, 6 , 10,  14,  22,  26,34 , 38, 46 ,58 ,62 ,......................

Pattern Recognition - 106

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 ,...................

Pattern Recognition - 105

Find out the next two numbers in the series.
3515 , 4624 , 7963, 81080, _ , _ , .........................

Answer

3 5  (3 * 5) , 4 6 (4 *6) , 7 9 (7*9) ,8 10 (8 *10) ,_ ,_ ,....................

3  5 , 4  6 , 7  9 , 8  10 , _ ,_ ,..................   Next two numbers 11  13 , 12 14

Next two numbers in the series
11  13 (11 * 13)    = > 1113143
12  14 (12 * 14)    =>  1214168

3515 , 4624 , 7963, 81080,  1113143 , 1214168, .........................