00:01
So in this problem, we're told that your starting salary is $45 ,000, and you're going to get a $1 ,500 a raise each year for 35 years.
00:08
So if you almost think of this as an arithmetic sequence, the first term would be your initial starting salary, which would be $45 ,000.
00:17
And because we're getting a raise of $1 ,500 per year, our salary would keep adding $1 ,500.
00:23
So our common difference, d, is $1 ,500.
00:26
And this is going to happen for a total of 35 years.
00:29
So there would be 35 terms in the sequence, so n is 35.
00:34
All right, well, in part a, we want to know how much will you earn during the 35th year? in other words, they're asking us to find a sub 35.
00:43
So to do this, we'll use our a sub -n formula.
00:46
A -s -n equals a -sub -1 plus d times n minus 1.
00:51
So we'll have a -s -7 -n equal to 45 ,000 plus 1 ,000 times 35 minus 1.
01:00
So now we just need to say.
01:02
Simplify.
01:03
Well, 35 minus 1 is 34.
01:06
34 times 1 ,500 is equal to 51 ,000.
01:10
So a sub n will be 45 ,000 plus 51 ,000, which is equal to 96 ,000...