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Which of the following is the next number in the series given below
1, 3, 7, 11, 21, 39, 71, ?
Sum of three terms gives you the next term in this series.
1+3+7 =11 + 7+3 = 21 and so on
12, 17, 67, 152, 182 , ?
182 + 1^2 + 8^2+ 2^2 = 151
3, 13, 31, 57, 91, 133, ?
1 x2 +1 = 3 ; 3 x 4 +1 = 13 ; 5x 6 +1 = 31 ; 7 x 8 +1 = 57 ; 9 x 10 + 1 = 91
Similarly the last number must be. 12 x 13 +1 = 157
11, 15, 24, 49, 98, 219, ?
11 + 2^2 = 15 + 3^2 = 24 + 5^2 = 49 + 7^2 = 98 + 11^2 = 219 + 13^2 = 388
1, 2, 4, 10, 34, 154, ?
1 + 1! = 2 + 2! = 4 + 3! = 10 + 4! = 34 +5! = 154 + 6! = 874
31, 62, 93, 25, 56, 87, ?
The series is multiples of 13 written inverted.
13 is written as 31, 26 is written as 62, 39 is written as 93, 52 is written as 25 and so on.
1, 10000, 10, 1111 , 11, 1110, 100,1101 , 101,1100 , 110, 1011, ? ,
There are two series – the alternate series starting from the first term is in binary – so this series contains decimal numbers 1,2,3 etc written in binary . The other series starts with the 2nd term and contains decimal numbers 16, 15, 14 etc written in base 3
0, 6, 24, 60, 120, 210 ?
1^3 -1 = 0
2^3-2 = 6
3^3 -3 = 24 and so on the last term which has to be found shall be.
7^3-7 = 336
1, 2, 6, 21, 88, 445 ?
1 x 1 +1 = 2. x 2 +2 = 6 x 3 +3 = 21 x4 +4 = 88 x 5 +5 = 445 x 6 +6 = 2676
2678, 672, 84, 32, ?
2 x 6 x 7 x 8 = 672.
6 x 7 x 2 = 84
8 x 4 = 32 so the next number should be 3 x 2 =6
2160, 360, 72, 18, 6 ?
This first number is divided by 6 to get the 2nd number. The 2nd number is divided by 5 to get the third number. This third number is divided by 4 to get the fourth number and so on. The last number must be divided by 2 to get the answer as 3
3, 30, 150, 500, 1250, 2500, ?
This first number is divided by 0.1 to get 30, the second number is divided by 0.2 to get the next number – 150, the third number is divided by 0.3 to get the 500 and so on. The last number 2500 is divided by 0.6 to get 4166.67