Consider the pattern.
- What is the sum of Row 9?
- What is the sum of Row 34?
- If the sum is 100, 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 34
= 34
2 = 34 x 34
= 1156
(c)
Row number = √(Sum of each row)
Row number with the sum 100
= √100
= 10
Answer(s): (a) 81; (b) 1156; (c) 10