Arithmetic Sequences

Arithmetic Series

Geometric Sequences

Geometric Series

Infinite GeometricSeries

100

What is the constant d.

common difference

100

What is the formula for the sum of arithmetic series.

Sn=n/2(a_{1 }+ a_{n})

100

What does the letter 'r' represent?

common ratio

100

What is the expression for the sum of the terms of a geometric sequence.

a geometric series

100

Find the sum of the following sequence 3 + 9 + 27 + ...

divergent, therefore unobtainable.

200

What is the d value in 1, 1/2, 0, -1/2?

d= -1/2.

200

What is the name of the man who discovered the arithmetic series formula.

Carl Friedrich Gauss?

200

What is the commen ratio: 3, 1, 1/3, 1/9,...

1/3

200

What is the equation for the sum of a geometric series where you know the value of n.

Sn = a_{1}(1 - r^{n})/(1-r)

200

What are the two types of infinite geometric sequences?

divergent and convergent

300

What is the value that is missing term 4.5,_____, 11.5?

8

300

In a stack of cans the 3rd row had 10 cans and the 8th row has 5 cans, find the number of cans in the first row.

12 cans

300

Find the value of a4 of term of a sequence where a_{1}= 3 and r=1/4

0.047 or 3/64

300

When do you use the equation Sn = a_{1}(1 - r^{n})/(1-r) over the other formula (Sn = a_{1}/(1-r))

when it is geometric and finite and r <1

300

In the infinite geometric series formula the common ratio cannot equal to what?

1

400

What are the first three terms in an arithmetic sequence with a_{17}=125, d=7?

13, 20, 27.

400

Find the sum of the series with 50 terms

50 + 48 + 46 + ...

50

400

If a_{1 }=5 and a_{4 }= 40, where the explicit formula

a_{n }=_{ }5(2)^{n-1}

400

The value of a_{1}, when Sn=443, n=6, r=1/3.

295.7

400

Find the he value of a_{1}, with the sequence ... + 5/3 + 5/9 + 5/27+ ... and has a sum of 6.

a1 =4?

500

a_{3}=16, and a_{8}=6, Find the values of a_{1}, and d.

d=-2 and a1=20.

500

Find the sum of the 13th through 16th terms of this sequences 3 + 6 + 9 + 12

174

500

Which term is equal to 47,829,690, if r=9, and a_{1}=10

n=8

500

What is the total distance a ball travels after it's dropped by a height of 15m and returns to 75% of its original height?

105

500

The sum of the following convergent series 1 + 1/2 + 1/4 + 1/8 + ... is?

2

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