Consider the pattern.
- What is the sum of Row 7?
- What is the sum of Row 47?
- If the sum is 1024, 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 47
= 47
2 = 47 x 47
= 2209
(c)
Row number = √(Sum of each row)
Row number with the sum 1024
= √1024
= 32
Answer(s): (a) 49; (b) 2209; (c) 32
