Q1 MATH 10 REVIEW [GTDLNHS]

What is the 6^th term of the sequence defined by the formula 𝑎_𝑛 = 3𝑛 − 2?

• 11

• 13

• 15

• 16

What are the next two terms in the sequence: 46, 41, 36, 31, , ?

• 25, 20

• 26, 21

• 51, 56

• 21, 16

A ball is dropped from a height of 80 cm. Each bounce reaches only ³/₄ of the height of the previous bounce: 80 cm, 60 cm, 45 cm, 33.75 cm, and so on. What type of sequence best describes the heights of the ball’s bounces?

• ARITHMETIC

• GEOMETRIC

• FIBONACCI

• BOTH ARITHMETIC AND GEOMETRIC

Why is the infinite geometric series 81 + 27 + 9 + 3 + … considered convergent?

• Because the common ratio is greater than 1

• Because it has only a few terms

• Because all terms are odd numbers

• Because the common ratio is between −1 and 1

What is the sum of the infinite geometric series 24 + 12 + 6 + 3 + 1.5 +…?

• 46.5

• 48

• 50

• 72

What are the possible rational roots of the polynomial 𝑓(𝑥) = 4𝑥³ − 7𝑥² + 2𝑥 + 3 based on the Rational Roots Theorem?

• ±1, ±2, ±3

• ±1, ±3

• ±1, ±3, ±1/3, ±2/3, ±4/3

• ±1, ±3, ±1/2, ±1/4, ±3/2, ±3/4

Which of the following rule describes the sequence 2, 4, 8, 16, 32, 64, …?

• 𝑎_𝑛 = 2𝑛

• 𝑎_𝑛 = 𝑛²

• 𝑎_𝑛 = 2^𝑛-1

• 𝑎_𝑛 = 2^𝑛

The 10th term of an arithmetic sequence is 44, and the common difference is 3. What is the first term?

• 11

• 14

• 17

• 20

The n^th term of an arithmetic sequence is 𝑎_𝑛 = 37 − 4𝑛.

What is the 6th term?

• 1

• 13

• 19

• 31