Question

How many multiples of 3 are there between 1167 and 2048 inclusive?

Answer 1

I have started off with Tn = 1167 + (n-1)3
= 1167 + 3n-3

Answer 2

im stuck after that

Answer 3

Notice how 2048 isn't a multiple of 3, but 2046 is since 2046/3 = 682

So

1167/3 = 389

and

2046/3 = 682

which means

1167 = 3*389

and

2046 = 3*682

Answer 4

Your first term is 1167 and last term is 2048 with common difference 3

Answer 5

So the sequence

1167, 1170, ..., 2046

can be written as

3*389, 3*390, ..., 3*682

Answer 6

So you need to count how many numbers there are from 389 to 682

Answer 7

293?

Answer 8

close, 294

Answer 9

oh yeah

Answer 10

thanks