Sequences & Series

1

100

What is the formula for an arithmetic sequence.

a_n = a₁ + (n-1)d

200

Find the 20th term of the arithmetic sequence 9, 16, 23, 30,..... using the formula.

an=142

300

Write an equation for the nth term of the sequence where a₁ = 12 and d=8.

What is a_n = 8n + 4?

400

Find the arithmetic means in the sequence 21, ___, ___, ___, 45,... .

What is 27, 33, 39?

500

Find the 50th term in the sequence 7,15,23,31,...

a50=399

2

100

Formula for the partial sum of an arithmetic series.

S_n = n (a₁ + a_n) / 2)

200

It is the value between each successive number in an arithmetic sequence

common difference

300

Find the common difference d for the arithmetic sequence 3,-2, -7 ,-12,...

What is -5?

400

Find the first three terms of the arithmetic series in which S_n = 120, n = 8, and a_n = 36.

What is -6, 0, 6?

500

Find the first three terms of the arithmetic series in which a₁ = 48, a_n = 180, and S_n = 1368.

48, 60, 72

3

100

It expresses the sum of the terms of a sequence

series

200

What is the first five terms of the sequence whose nth term is a sub n = 5n-3

2, 7, 12, 17, 22

300

What is the 6th term of a sequence 8, -2, -12

-32

400

Suppose you are given the arithmetic sequence 3,6,9,…, 99. What is the sum of the terms of this sequence?

1683

500

If a sub 1 = 5 and a sub 3 =19 in an arithmetic sequence, then S sub 25 = 2225

True

4

100

The terms between any two nonconsecutive terms of an arithmetic sequence

Arithmetic means

200

Determine the 88th term of the arithmetic sequence where a1=4 and the common difference is 10

866

300

Evaluate the arithmetic series described: 14+23+32+41..., find the sum of the first eleven terms.

649

400

Suppose you are given the arithmetic sequence 3,17,31,45,... What is the sum of the first 25 terms of this sequence?

4275

500

If the sum of the first 12 terms of an arithmetic sequence is 360, the first term is 8, and the common difference is 4 then the last term must be 56.

False , 52

5

100

It is a sequence where each term after the first is obtained by adding a constant to a preceeding term

Arithmetic Sequence

200

What is the common difference if the a sub 1 = -4 and the common difference is 10

866

300

What is the other term for an arithmetic sequence

Arithmetic progression

400

Suppose you are given the arithmetic sequence 4,8,12,16,…, 48. What is the sum of the terms of this sequence?

n=12

S12=312

500

The sum of the first 10 terms of the arithmetic sequence −12, −3, 6, 15, ... is 570

False , 285