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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

 Oct 23, 2019
 #1
avatar+104969 
+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

 

 

cool cool cool

 Oct 23, 2019
 #2
avatar+104969 
+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

 

 

cool cool cool

 Oct 23, 2019
 #3
avatar+104969 
+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

 

 

cool cool cool

 Oct 23, 2019

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