PSLE The first 15 numbers of a number pattern are given.
0, 8, 3, 9, 0, 8, 3, 9, 0, 8, 3, 9, 0, 8, 3, ...
- What is the 529th number?
- What is the sum of the first 148 numbers?
(a)
Each set of numbers: 0, 8, 3, 9
Each set has 4 numbers.
Remainder: 1 → Number 0
Remainder: 2 → Number 8
Remainder: 3 → Number 3
Remainder: 0 → Number 9
529 ÷ 4 = 132 r 1
529th number = 0
(b)
Sum of each set
= 0 + 8 + 3 + 9
= 20
Number of sets
= 148 ÷ 4
= 37 r 0
Sum of the first 148 numbers
= 37 x 20
= 740
Answer(s): (a) 0; (b) 740