Consider the pattern.
- What is the sum of Row 7?
- What is the sum of Row 37?
- If the sum is 1225, 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 7
= 7
2 = 7 x 7
= 49
(b)
Sum of Row 37
= 37
2 = 37 x 37
= 1369
(c)
Row number = √(Sum of each row)
Row number with the sum 1225
= √1225
= 35
Answer(s): (a) 49; (b) 1369; (c) 35