Question

Maths Olympiad Question for you peeps

Answer 1

The digital sum of an integer is the sum of all its digits. A digit sum sequence is a sequence of numbers that start with any integer and has each number after the first equal to the digital sum of the number before it. e.g. 7598, 29, 11, 2. Any digital sum sequence ends in a single digit number called the final digital sum or FDS.
Find and justify a rule that produces all 3 digit multiples of 7 with an FDS of 7
Find and justify a rule that produces all 3 digit multiples of 8 with an FDS of 8

Answer 2

UPDATE:
i got the first part
7x(19+9n) where 0<=n<=13
could someone please check

Answer 3

i dont get the example

Answer 4

e.g. 7598, 29, 11, 2.

Answer 5

7+5+9+8 = 29
2+9 = 11
1+1 = 2
so basically the sum of digits is the next number

Answer 6

ok i gotcha

Answer 7

dan start with ur lucky number, the sequence is
\[815, ~~14, ~~5\]

Answer 8

i need to go, ill be back in a few hours

Answer 9

ok lemme see if i get same answer as u

Answer 10

as long as it has all the 3 digit multiples it shud be fine right, it doenst matter if i have extra numbers in there..

Answer 11

7 Divisibility rule