Consider the pattern.
- What is the sum of Row 9?
- What is the sum of Row 40?
- If the sum is 1296, what is the row number?
(a)
Pattern for the sum of each row
Row 1: 1
2 = 1
Row 2: 2
2 = 4
Row 3: 3
2 = 9
Formula:
Sum of each row = (Row number)
2 Sum of Row 9
= 9
2 = 9 x 9
= 81
(b)
Sum of Row 40
= 40
2 = 40 x 40
= 1600
(c)
Row number = √(Sum of each row)
Row number with the sum 1296
= √1296
= 36
Answer(s): (a) 81; (b) 1600; (c) 36
