Which formula can be used to determine the n^th term of the sequence shown below?
7, 10, 13, 16, ...
A. tn = 4 + 3n
B. tn = 3 + 7n
C. tn = 7 + 3n
D. tn = 4 + 7n
Which formula can be used to determine the nth term of the sequence shown below?
10, 7, 4, 1, ...
A. tn = 10 – 3n
B. tn = 13 – 3n
C. tn = 1 + 3n
D. tn = 10 + 3n
The gym charges new members a $25 application fee. They also charge $10 per month. The table represents the total cost of being a member at the gym for a number of months.
Number of Months 1 2 3 4
Total Cost of Membership $35 $45 $55 $65
Which formula can be used to determine the total cost of being a member for n months?
A. tn = 35 + 10n
B. tn = 35n
C. tn = 25 + 10n
D. tn = 10 + 25n
7, 10, 13, 16, ...
First term = a1 = 7
Common difference = d = 3
The nth term, tn, is given by
tn = a1 + d(n - 1)
tn = 7 + 3(n - 1)
tn = 7 + 3n - 3
tn = 4 + 3n
10, 7, 4, 1, ...
First term, a1, is 10
Common difference, d, is - 3
The nth term, tn, is given by
tn = a1 + d ( n - 1)
tn = 10 + (-3)(n - 1)
tn = 10 -3n + 3
tn = 13 -3n
The gym charges new members a $25 application fee. They also charge $10 per month. The table represents the total cost of being a member at the gym for a number of months.
The total cost for belonging n months is given by
Total Cost = Fixed Cost + Variable Cost
Total Cost = 25 + 10n