Arithmetic Sequence Series and Summation

Calculate the final sum/total of the series.

• 6

• 21

• 9

• 2

Is this summation finite or infinite?

• Finite, because there are only 6 terms to add up.

• Infinite, because there are an infinite number of terms to add up.

The summation is the same as which series?

• (4+10) + (4+20) + (4+30) + (4+40) + (4+50) + (4+60) + (4+70) + (4+80) + (4+90) + (4+100) + (4+110)

• 1+2+3+4+5+6+7+8+9+10+11

• 4 + 110

• 4 + 10

• 196

• 392

• 49

• 254

• 8

• 5

• 3

• 1

The next two terms of the sequence 4,7,10,13 are ....

• 16 and 19

• 15 and 19

• 16 and 18

• 15 and 18

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

Identify the common difference.
3, 7, 11, 15, ...

• 6

• 5

• 4

• 2

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it. Distribute and combine like terms.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint: Simplify your equation. Distribute and combine like terms.)

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25