Take any three consecutive even numbers and add them , say ,
` 2+4 + 6= 12 , 4 +6 + 8 = 18 , 6 + 8 + 10 = 24 , 8 + 10 + 12 = 30` and so on.
Is there any pattern can you guess in these sums? What can you conjecture about them?

Take any three consecutive odd numbers and find their product, for example 1 xx 3 xx 5 = 15 , 3 xx 5 xx 7 = 105 , 5 xx 7 xx 9 -.......... Is there any pattern you can guess in these products? What can you conjecture about them?

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 } and D = { 7, 8, 9, 10 } , find A ∪ B ∪ C

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 } and D = { 7, 8, 9, 10 } , find A ∪ B ∪ D

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 } and D = { 7, 8, 9, 10 } , find B ∪ C ∪ D

Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12} . Find A ∪ B .

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 } and D = { 7, 8, 9, 10 } , find A ∪ C

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 } and D = { 7, 8, 9, 10 } , find B ∪ C

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 } and D = { 7, 8, 9, 10 } , find A ∪ B

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 } and D = { 7, 8, 9, 10 } , find B ∪ D

The following geometric arrays suggest a sequence of numbers. (a) Find the next three terms . (b) Find the 100^(th) term . (c) Find the n^(th) term . The dots here arranged in such a way that they form a rectangle. Here T_1 =2 , T_2 = 6 , T_3 = 12 , T_4 = 20 and so on. Cay you guess what T_5 is ? What about T_6 ? What about T_n ? Make a conjecture about T_n .