Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,...8,−5,−18,−31,...8, comma, minus, 5, comma, minus, 18, comma, minus, 31, comma, point, point, point.
d(1)=d(1)=d, left parenthesis, 1, right parenthesis, equals
d(n)=d(n-1)+d(n)=d(n−1)+d, left parenthesis, n, right parenthesis, equals, d, left parenthesis, n, minus, 1, right parenthesis, plus

The school that imani goes to is selling tickets to the annual dance competition. on the first day of the ticket sales the school sold 7 adult tickets and 5 child tickets for a total of $96. the school took in $40 on the second day by seling 3 adult tickets . find the price of an adult ticket and the price of a child ticket. solve by using substitution elimination college prep algebra math heres the 2 equations i came up with 7x+5y=96 and 3x+2y= -40 show all workiv be stuck on this.

Darcy deposited $390 into a savings account. as long as the account balance remains at or above $150, she does not have to pay a service fee for the account. for how many months can she withdraw $40 a month without having to pay service fees? a) 3 b) 5 c) 6 d) 9

Since we have computer algebra systems that can solve polynomial division problems for us, why is it necessary to learn how to do these things by hand?