Nai Ling created a number pattern as shown.
- What number can be found in Row 31, Column Q?
- In which row will the number 174 be found?
(a)
Pattern for the number in Column Q
Row 3: (3 - 3) x 5 + 34 = 34
Row 4: (4 - 3) x 5 + 34 = 39
Row 5: (5 - 3) x 5 + 34 = 44
Formula:
Number in Column Q = (Row number - 3) x 5 + 34
Number in Row 31, Column Q
= (31 - 3) x 5 + 34
= 140 + 34
= 174
(b)
Row number for 174
= (174 - 34) ÷ 5 + 3
= 140 ÷ 5 + 3
= 31
Answer(s): (a) 174; (b) 31
