Consider the pattern.
- What is the sum of Row 8?
- What is the sum of Row 21?
- If the sum is 196, 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 21
= 21
2 = 21 x 21
= 441
(c)
Row number = √(Sum of each row)
Row number with the sum 196
= √196
= 14
Answer(s): (a) 64; (b) 441; (c) 14