Arithmetic sequences
Geometric sequences
Partial sums
Geometric series
Arithmetic series
100

The next term in this arithmetic sequence

3, 7.5, 12, ...

What is 16.5?

100

The next term in the geometric sequence

2/3, -4/9, 8/27, ...

What is -16/81?

100

The name for a notation that uses this sign

What is sigma notation?

100

The geometric series formula.

What is ?

100

The arithmetic series formula.

What is ?

200

The 4th term in the sequence, given by the formula

c(n)=-5+6(n-1)

(no calculator allowed)

What is 13?

200

The 3rd term in the sequence, given by the formula

ai=2(-4)i-1

(no calculator allowed)

What is 32?

200

The sigma notation for the following series:

3+4+5+...+99

What is

200

The formula for a geometric mean.

What is  ?

200

The total value of the series

2+4+6+...+100

What is 2550 ?

300

The specific term that a(n-1) represents.

What is the term that comes before the nth term?

300

a1=-3

Common ratio= -5

The third term of the sequence.

(no calculator allowed)

What is -75?

300

The type of series that can be a limit to a partial sum.

What is an infinite series?

300

The formula for an infinite geometric series.

What is ?

300

The number of terms in this series

1+3+...+503

What is 251?

(503-1)/2=251

400

a1=-14

Common difference = 3

The third term of the sequence.

(no calculator allowed)

What is -8?

400

The recursive formula for the sequence 3, -6/5, 12/25, ...

What is 

400

The value of a7 from the partial sum

given that


What is 27/28?


400

The sum of the first 7 terms in the geometric series

2048-1024+512-...

What is 1376?

r=-1/2


400

The sum of the first 600 terms in a sequence given that:

ai=ai-1+10

a1=2

What is 1,798,200?

a600=2+599(10)=5992

S600=600[(2+5992)/2]=1,798,200

500

The explicit formula for the sequence 2, 9, 16, ...

What is 2+7(n-1)?

500

The explicit formula, given that:

a2=-40

r=-8

What is 5(-8)i-1 ?

500

The rule for aof the partial sum given by


What is 27/28?


500

The sum of the finite geometric series

1-0.99+0.992-0.993+...-0.9999

rounded to the nearest thousandth.

What is 0.319?

S100=

500

The sum to this series

What is 330550?