Free Pre-Calculus Sequences and Series Questions and Answers

Question 1

Create the geometric sequence's formula: -2, 10, -50, 250...

Accepted Answer

aₙ = -2(-5)^n-1

Answer

aₙ = 2(-5)^n-1

Answer

aₙ = -2(5)^n-1

Answer

aₙ = 2(5)^n-1

Question 2

Eliya's Bakery has recently launched and is expanding its bread products. For instance, the bakery produced 150 carrot cakes in January, 133 in February, 116 in March, and 99 in April. What type of sequence is this?

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

Answer

Both

Question 3

Determine the sum, if it exists, of the infinite geometric series: 200 - 100 + 50 - 25 +

Accepted Answer

400/ 3

Answer

3 / 400

Answer

2 / 400

Answer

Does not exist

Question 4

A geometric sequence's third term is 96 and its fifth term is 1536. What is the sum of the sequence's first ten terms?

Accepted Answer

2,097,150

Answer

33,554,400

Answer

4,092

Answer

1,572,864

Question 5

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

Accepted Answer

-11

Answer

11

Answer

-8

Answer

8

Question 6

Determine the 22nd term of the sequence 5, 8, 11,...

Accepted Answer

68

Answer

63

Answer

71

Answer

14

Question 7

Determine the sum of the terms in the sequence 1, 1/2, 1/4, 1/8, and 1/16...

Accepted Answer

2

Answer

3

Answer

1

Answer

4

Question 8

Your trainer instructs you to return to your jogging program gradually following leg surgery. He recommends 12 minutes of daily jogging for the first week. Each subsequent week, he suggests increasing this time by 6 minutes per day. In how many weeks will you be able to jog for 60 minutes per day?

Accepted Answer

9 weeks

Answer

10 weeks

Answer

1 weeks

Answer

8 weeks

Question 9

When you go to the Grand Canyon, you throw a penny off a cliff. In arithmetic order, the penny will fall 16 feet in the first second, 48 feet in the second after that, 80 feet in the third second, and so on. How far will the object fall in total in six seconds?

Accepted Answer

576 feet

Answer

480 feet

Answer

120 feet

Answer

144 feet

Question 10

What is the total of the series' first 50 terms: 2 + 17 + 32 + 47 +?

Accepted Answer

18,475

Answer

19,125

Answer

18,235

Answer

1,600