Assume that this year, n = 1, the average annual salary for women in the United States is $25,000 and that it is increasing by 5% per year, meaning that each year the salary is 1.05 times what it was the previous year.
Assume that the average annual salary for men is $30,000 and that it is increasing by $2,000 per year.
How would I calculate the first couple of terms in each sequence for men and women???
To calculate the first couple of terms in each sequence for men and women, you need to apply the given rate of increase to the initial salaries.
For women:
Given that the initial salary (n = 1) for women is $25,000 and it increases by 5% each year, we can calculate the subsequent terms as follows:
First term:
The initial salary for women is $25,000.
Second term:
To calculate the second term, multiply the first term ($25,000) by 1.05 (since it increases by 5%):
$25,000 * 1.05 = $26,250
Third term:
To calculate the third term, multiply the second term ($26,250) by 1.05:
$26,250 * 1.05 = $27,562.50
And so on.
For men:
Given that the initial salary for men is $30,000 and it increases by $2,000 per year, we can calculate the subsequent terms as follows:
First term:
The initial salary for men is $30,000.
Second term:
To calculate the second term, add the rate of increase ($2,000) to the first term:
$30,000 + $2,000 = $32,000
Third term:
To calculate the third term, add the rate of increase ($2,000) to the second term:
$32,000 + $2,000 = $34,000
And so on.
By using this method, you can calculate the first couple of terms in each sequence for both men and women.