Consider the pattern.
- What is the sum of Row 6?
- What is the sum of Row 37?
- 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 6
= 6
2 = 6 x 6
= 36
(b)
Sum of Row 37
= 37
2 = 37 x 37
= 1369
(c)
Row number = √(Sum of each row)
Row number with the sum 1296
= √1296
= 36
Answer(s): (a) 36; (b) 1369; (c) 36