PSLE The first 15 numbers of a number pattern are given.
4, 0, 7, 2, 4, 0, 7, 2, 4, 0, 7, 2, 4, 0, 7, ...
- What is the 119th number?
- What is the sum of the first 277 numbers?
(a)
Each set of numbers: 4, 0, 7, 2
Each set has 4 numbers.
Remainder: 1 → Number 4
Remainder: 2 → Number 0
Remainder: 3 → Number 7
Remainder: 0 → Number 2
119 ÷ 4 = 29 r 3
119th number = 7
(b)
Sum of each set
= 4 + 0 + 7 + 2
= 13
Number of sets
= 277 ÷ 4
= 69 r 1
First 1 number = 4
Sum of the first 277 numbers
= (69 x 13) + 4
= 897 + 4
= 901
Answer(s): (a) 7; (b) 901