Consider the pattern.
- What is the sum of Row 4?
- What is the sum of Row 48?
- If the sum is 1681, 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 48
= 48
2 = 48 x 48
= 2304
(c)
Row number = √(Sum of each row)
Row number with the sum 1681
= √1681
= 41
Answer(s): (a) 16; (b) 2304; (c) 41