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# Which formula can be used to determine the n^th term of the sequence shown below?

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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
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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   Oct 23, 2019
#2
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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   Oct 23, 2019
#3
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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   Oct 23, 2019