PSLE The first 15 numbers of a number pattern are given.
6, 8, 7, 2, 6, 8, 7, 2, 6, 8, 7, 2, 6, 8, 7, ...
- What is the 599th number?
- What is the sum of the first 497 numbers?
(a)
Each set of numbers: 6, 8, 7, 2
Each set has 4 numbers.
Remainder: 1 → Number 6
Remainder: 2 → Number 8
Remainder: 3 → Number 7
Remainder: 0 → Number 2
599 ÷ 4 = 149 r 3
599th number = 7
(b)
Sum of each set
= 6 + 8 + 7 + 2
= 23
Number of sets
= 497 ÷ 4
= 124 r 1
First 1 number = 6
Sum of the first 497 numbers
= (124 x 23) + 6
= 2852 + 6
= 2858
Answer(s): (a) 7; (b) 2858