PSLE The first 15 numbers of a number pattern are given.
6, 2, 7, 1, 6, 2, 7, 1, 6, 2, 7, 1, 6, 2, 7, ...
- What is the 537th number?
- What is the sum of the first 404 numbers?
(a)
Each set of numbers: 6, 2, 7, 1
Each set has 4 numbers.
Remainder: 1 → Number 6
Remainder: 2 → Number 2
Remainder: 3 → Number 7
Remainder: 0 → Number 1
537 ÷ 4 = 134 r 1
537th number = 6
(b)
Sum of each set
= 6 + 2 + 7 + 1
= 16
Number of sets
= 404 ÷ 4
= 101 r 0
Sum of the first 404 numbers
= 101 x 16
= 1616
Answer(s): (a) 6; (b) 1616