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 32 have?
- Which row has195 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 32
= 32 x 2 + 1
= 64 + 1
= 65
(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 195 numbers
= (195 - 1) ÷ 2
= 194 ÷ 2
= 97
Answer(s): (a) 65; (b) 97