Series of Cubes and Squares - Explained with Examples

Types

• Square Series
• Cube Series
• Square Addition Series
• Cube Addition series

1. Square Series

2. Cube Series

3. Square Addition Series

4. Cube Addition Series

Problems

1. 695, 352, 136, 11, -53, ?
Sol: (-7)³, (-6)³, (-5)³, (-4)³, (-3)³

2. 2, 3, 8, 16, 32, 57, 93 find wrong number?

Sol: +1², +2², +3², +4², +5², +6²

3. 8, 9, 17, 44, 102, 233, 449 find wrong number ?

Sol: +1², +2², +3², +4², +5², +6²

4. 8, 27, 64, 144, 216, 343, 512 find wrong number?

Sol: 2³, +3³, +4³, +5³, +6^3,+7³, +8³

5. 4, 16, 36, 49, 100, 144 find wrong number ?

Sol: 2², 4², 6², 8², 10², 12²

6. 0, 5, 22, 57, ?, 205

Sol:  1³-1, 2³-3, 3³-5, 4³-7, 5³-9, 6³-11

7. 24, 60, 120, 210, ?

Sol: 3³-3, 4³-4, 5³-5, 6³-6,7³-7

8. 3, 8, 15, 24, ? , 48, 63

Sol: 2²-1, 3²-1, 4²-1, 5²-1, 6²-1, 7²-1, 8²-1