Arithmetic and Geometric Sequences and Series

Arithmetic series

100

Find the sum of the first 33 terms of the following series, to the nearest integer.

2,11,20,...

4818

200

Find the sum of the first 38 terms of the following series, to the nearest integer.

9,12,15,...

2451

300

Find the sum of the first 45 terms of the following series, to the nearest integer.

2, 7,12,..

5040

400

Find the sum of the first 38 terms of the following series, to the nearest integer.

2, 11,20,...

6403

500

Find the sum of the first 43 terms of the following series, to the nearest integer.

4, 12,20,...

7396

Arithmetic sequences

100

5,14,23...

find the 43rd term

383

200

460,451,442...

find the 46th term

55

300

11,15,19...

find the 33rd term

139

400

310,304,298...

find the 41st term

70

500

4,11,18...

find the 42nd term

291

Geometric series

100

Find the sum of the first 10 terms of the following series, to the nearest integer.

6, 12,24,...

6138

200

Find the sum of the first 10 terms of the following series, to the nearest integer.

63,21,7,...

≈ 94

300

Find the sum of the first 7 terms of the following series, to the nearest integer.

8, 6,9/2,...

≈28

400

Find the sum of the first 7 terms of the following series, to the nearest integer.

6, 9/2, 27/8,...

≈21

500

Find the sum of the first 8 terms of the following series, to the nearest integer.

3,15/4,75/16,...

≈60

Geometric sequences

100

12,24,48...

find the 7th term

768

200

14,28,56...

find the 6th term

448

300

150,120,96...

find the 6th term (round to the nearest thousandth if necessary)

49.152

400

6,2,2/3...

find the 6th term (round to the nearest thousandth if necessary)

0.025

500

2,10/3,50/9

find the 9th term (round to the nearest thousandth if necessary)

119.075

Arithmetic v.s Geometric sequences (word problems)

100

You rent an apartment that costs $1100 per month during the first year, but the rent is set to go up $110 per year. What would be the monthly rent during the 11th year of living in the apartment?

2200

200

Jayden opened a savings account with $1200 that pays no interest. He deposits an additional $200 each week thereafter. How much money would Jayden have in the account 26 weeks after opening the account?

6400

300

You rent an apartment that costs $900 per month during the first year, but the rent is set to go up 12.5% per year. What would be the rent of the apartment during the 6th year of living in the apartment? Round to the nearest tenth (if necessary).

≈1621.8

400

You rent an apartment that costs $1700 per month during the first year, but the rent is set to go up 10% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).

≈4008.5

500

A bouncy ball is dropped such that the height of its first bounce is 3 feet and each successive bounce is 75% of the previous bounce's height. What would be the height of the 8th bounce of the ball? Round to the nearest tenth (if necessary).

≈0.4