PSLE The first 15 numbers of a number pattern are given.
0, 8, 9, 1, 0, 8, 9, 1, 0, 8, 9, 1, 0, 8, 9, ...
- What is the 581st number?
- What is the sum of the first 324 numbers?
(a)
Each set of numbers: 0, 8, 9, 1
Each set has 4 numbers.
Remainder: 1 → Number 0
Remainder: 2 → Number 8
Remainder: 3 → Number 9
Remainder: 0 → Number 1
581 ÷ 4 = 145 r 1
581st number = 0
(b)
Sum of each set
= 0 + 8 + 9 + 1
= 18
Number of sets
= 324 ÷ 4
= 81 r 0
Sum of the first 324 numbers
= 81 x 18
= 1458
Answer(s): (a) 0; (b) 1458