PSLE The first 15 numbers of a number pattern are given.
7, 8, 1, 9, 7, 8, 1, 9, 7, 8, 1, 9, 7, 8, 1, ...
- What is the 643rd number?
- What is the sum of the first 289 numbers?
(a)
Each set of numbers: 7, 8, 1, 9
Each set has 4 numbers.
Remainder: 1 → Number 7
Remainder: 2 → Number 8
Remainder: 3 → Number 1
Remainder: 0 → Number 9
643 ÷ 4 = 160 r 3
643rd number = 1
(b)
Sum of each set
= 7 + 8 + 1 + 9
= 25
Number of sets
= 289 ÷ 4
= 72 r 1
First 1 number = 7
Sum of the first 289 numbers
= (72 x 25) + 7
= 1800 + 7
= 1807
Answer(s): (a) 1; (b) 1807