Question

Observe the pattern.

1

3 = 1

1

3 + 2

3 = (1 + 2)

2

1

3 + 2

3 + 3

3 = (1 + 2 + 3)

2​

Answer 1

Answer:

1

3 = 1

1

3 + 2

3 = (1 + 2)

2

1

3 + 2

3 + 3

3 = (1 + 2 + 3)

2

Answer 2

Answer:

(i) 1002 - 992 =100 + 99 = 199

(ii) 1112 – 1092 = (1112 – 1102) + (1102 – 1092) = (111 + 110) + (100 + 109) = 440

(iii) 99 – 96 = (992 – 982) + (982 – 972) + (972 – 962) = (99 + 98) + (98 + 97) + (97 + 96) = 585