PSLE The first 15 numbers of a number pattern are given.
6, 3, 5, 0, 6, 3, 5, 0, 6, 3, 5, 0, 6, 3, 5, ...
- What is the 338th number?
- What is the sum of the first 267 numbers?
(a)
Each set of numbers: 6, 3, 5, 0
Each set has 4 numbers.
Remainder: 1 → Number 6
Remainder: 2 → Number 3
Remainder: 3 → Number 5
Remainder: 0 → Number 0
338 ÷ 4 = 84 r 2
338th number = 3
(b)
Sum of each set
= 6 + 3 + 5 + 0
= 14
Number of sets
= 267 ÷ 4
= 66 r 3
Sum of the first 3 numbers
= 6 + 3 + 5
= 14
Sum of the first 267 numbers
= (66 x 14) + 14
= 924 + 14
= 938
Answer(s): (a) 3; (b) 938