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

macabresubwoofer Oct 23, 2019

#1**+2 **

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

CPhill Oct 23, 2019

#2**+1 **

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

CPhill Oct 23, 2019

#3**+2 **

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

CPhill Oct 23, 2019