PSLE The first 15 numbers of a number pattern are given.
4, 0, 8, 9, 4, 0, 8, 9, 4, 0, 8, 9, 4, 0, 8, ...
- What is the 670th number?
- What is the sum of the first 263 numbers?
(a)
Each set of numbers: 4, 0, 8, 9
Each set has 4 numbers.
Remainder: 1 → Number 4
Remainder: 2 → Number 0
Remainder: 3 → Number 8
Remainder: 0 → Number 9
670 ÷ 4 = 167 r 2
670th number = 0
(b)
Sum of each set
= 4 + 0 + 8 + 9
= 21
Number of sets
= 263 ÷ 4
= 65 r 3
Sum of the first 3 numbers
= 4 + 0 + 8
= 12
Sum of the first 263 numbers
= (65 x 21) + 12
= 1365 + 12
= 1377
Answer(s): (a) 0; (b) 1377