Sequences and Functions

Tell whether the sequence is arithmetic. If it is, identify the common difference. ( , , , 0 … )

Tell whether the sequence is arithmetic. If it is, identify the common difference. (-3, -7, -10, -14,…)

(a)Common Difference

(b)Not an arithmetic sequence.

Step-by-step explanation:

An arithmetic sequence is a sequence in which the next term is obtained from the previous term by the addition of a common constant.

(a)Given the sequence:

Clearly, this is an arithmetic sequence and the common difference is

(b)Given the Sequence:

-3, -7, -10, -14 …

-7-(-3)=-7+3=-4

-10-(-7)=-10+7=-3

-14-(-10)=-14+10=-4

This is not an arithmetic sequence as the constant term is not the same all true.

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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