MTH100 Midterm Preparation by ZB

Q1. Which of the following is an Arithmetic Sequence?

1. 35, x, x+2, x+4, ...
2. 35, x, x+2, x+4, x+6, ...
3. 24, 35, x, x+5, x+10, ...
4. 24, 35, x, x+5, x+10, x+15, ...

Answer: b) 35, x, x+2, x+4, x+6, ...

Q2. The midpoint of line segment AB with coordinates A(5, 8) and B(3, 6) is:

1. (1, 1)
2. (4, 7)
3. (6.5, 4.5)
4. (-1.5, -1.5)

Answer: b) (4, 7)

Q3. For the arithmetic sequence , which of the following is the best option for ‘d’?

1. First term
2. Last term
3. Constant
4. Common difference

Answer: d) Common difference

Q4. What is the common ratio ‘r’ of the geometric sequence 5, 10, 20, 40, ...?

1. -5
2. 1/2
3. 2
4. 5

Answer: c) 2

Q5. The determinant of matrix is:

1. 12
2. 10
3. 14
4. 8

Answer: b) 10

Q21. What defines an arithmetic sequence?

1. Each term is the square of its position.
2. Each term is obtained by adding a constant value to the previous term.
3. Each term is obtained by multiplying the previous term by a constant.
4. Each term is a random number.

Answer: b) Each term is obtained by adding a constant value to the previous term.

Q22. Which of the following statements is true for a geometric sequence?

1. The difference between consecutive terms is constant.
2. The ratio between consecutive terms is constant.
3. The sum of consecutive terms is constant.
4. The terms decrease linearly.

Answer: b) The ratio between consecutive terms is constant.

Q23. In an arithmetic sequence, what is the term “common difference” used to describe?

1. The last term in the sequence.
2. The value that is subtracted from each term to get the next term.
3. The constant value added to each term to get the next term.
4. The ratio between consecutive terms.

Answer: c) The constant value added to each term to get the next term.

Q24. What is the name of a sequence in which each term approaches a fixed number as the sequence progresses?

1. Divergent sequence
2. Arithmetic sequence
3. Geometric sequence
4. Convergent sequence

Answer: d) Convergent sequence

Q25. What is a series in mathematics?

1. A sequence of random numbers.
2. The sum of the terms of a sequence.
3. A sequence where each term is squared.
4. A collection of unrelated numbers.

Answer: b) The sum of the terms of a sequence.