PSLE The first 15 numbers of a number pattern are given.
3, 0, 2, 8, 3, 0, 2, 8, 3, 0, 2, 8, 3, 0, 2, ...
- What is the 958th number?
- What is the sum of the first 163 numbers?
(a)
Each set of numbers: 3, 0, 2, 8
Each set has 4 numbers.
Remainder: 1 → Number 3
Remainder: 2 → Number 0
Remainder: 3 → Number 2
Remainder: 0 → Number 8
958 ÷ 4 = 239 r 2
958th number = 0
(b)
Sum of each set
= 3 + 0 + 2 + 8
= 13
Number of sets
= 163 ÷ 4
= 40 r 3
Sum of the first 3 numbers
= 3 + 0 + 2
= 5
Sum of the first 163 numbers
= (40 x 13) + 5
= 520 + 5
= 525
Answer(s): (a) 0; (b) 525