MATH 10

Which of the following sequences would be produced if you took the pattern 3, 6, 12, 24,... and applied it to the initial number 5?

• 5, 7.5, 10, 12.5, ..

• 5, 10, 15, 20, ...

• 5, 10, 20, 40, ...

• 5, 25, 125, 625, ...

Which of the following sequences illustrates an arithmetic sequence?

• 1, 3, 9, 27, ...

• 2, 4, 8, 16, ...

• 3, 6, 12, 24, ...

• 5, 10, 15, 20, ...

Tanya started saving money by putting ₱5 in her piggy bank on the first day. Each day after that, she added ₱2 more than the previous day. If this pattern continues, how much money will Sarah save on the 5th day?

• 13

• 15

• 17

• 19

Mia is observing an arithmetic sequence where the first term is 5 and the common difference is 2. She needs to calculate the sum of the first seven terms of this sequence. What is the total first seven terms?

• 77

• 84

• 91

• 98

In a fantasy board game, players move through a mystical forest. The number of steps a player takes corresponds to an arithmetic sequence. On the first turn, a player moves 3 steps, on the second, 7 steps, and on the third, 11 steps. If this pattern continues, how many steps will the player take on the fourth turn?

• 13

• 15

• 17

• 19

Which of the following sequences is a geometric sequence?

• 2, 4, 6, 8, ...

• 3, 9, 27, 81, ...

• 5, 10, 15, 20, ...

• 7, 14, 28, 56, ...

A virus in a laboratory doubles its count every day. If there were 50 viruses on the first day, how many viruses will there be on the 4th day?

• 100

• 200

• 400

• 800

A sequence is defined by the following terms: 3, 5, 9, 15, ... Which of the following statements best describes the pattern observed in the sequence?

• Each term is obtained by adding 2.

• The sequence is random with no discernible pattern.

• The difference between consecutive terms is increasing by 2.

• Each term is obtained by multiplying the previous term by a constant factor.

Use synthetic division to determine the quotient when 2x² + 3x – 5 is divided by
x – 1

• 2x+5

• 2x+2

• 2x-5

• 2x-2

Which of the following best describes the Remainder Theorem?

• If f(c) = 0, then x - c is a factor of the polynomial f(x).

• If a polynomial f(x) is divided by x - c, then the remainder is f(c).

• The degree of a polynomial determines its maximum number of roots.

• Every rational root, written in lowest terms p/q, will have p as a factor of the constant term and q as a factor of the leading coefficient.