Consider the pattern.
- What is the sum of Row 4?
- What is the sum of Row 16?
- If the sum is 1764, 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 4
= 4
2 = 4 x 4
= 16
(b)
Sum of Row 16
= 16
2 = 16 x 16
= 256
(c)
Row number = √(Sum of each row)
Row number with the sum 1764
= √1764
= 42
Answer(s): (a) 16; (b) 256; (c) 42