Based on the given number sums:
- If Row 2, (that is, 4 + 5 + 6 = 7 + 8) is said to have 5 numbers, and Row 3 has 7 numbers, how many numbers does Row 30 have?
- Which row has141 numbers?
(a)
Pattern for the total numbers in a row
Row 1: 1 x 2 + 1 = 3
Row 2: 2 x 2 + 1 = 5
Row 3: 3 x 2 + 1 = 7
Total numbers in a row = Row number x 2 + 1
Total numbers in Row 30
= 30 x 2 + 1
= 60 + 1
= 61
(b)
Total numbers in a row = Row number x 2 + 1
Row number = (Total numbers in a row - 1) ÷ 2
Row number which will have 141 numbers
= (141 - 1) ÷ 2
= 140 ÷ 2
= 70
Answer(s): (a) 61; (b) 70
