PSLE The first 15 numbers of a number pattern are given.
5, 7, 8, 0, 5, 7, 8, 0, 5, 7, 8, 0, 5, 7, 8, ...
- What is the 333rd number?
- What is the sum of the first 452 numbers?
(a)
Each set of numbers: 5, 7, 8, 0
Each set has 4 numbers.
Remainder: 1 → Number 5
Remainder: 2 → Number 7
Remainder: 3 → Number 8
Remainder: 0 → Number 0
333 ÷ 4 = 83 r 1
333rd number = 5
(b)
Sum of each set
= 5 + 7 + 8 + 0
= 20
Number of sets
= 452 ÷ 4
= 113 r 0
Sum of the first 452 numbers
= 113 x 20
= 2260
Answer(s): (a) 5; (b) 2260