Consider the pattern.
- What is the sum of Row 8?
- What is the sum of Row 32?
- If the sum is 2209, 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 8
= 8
2 = 8 x 8
= 64
(b)
Sum of Row 32
= 32
2 = 32 x 32
= 1024
(c)
Row number = √(Sum of each row)
Row number with the sum 2209
= √2209
= 47
Answer(s): (a) 64; (b) 1024; (c) 47