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## Arithmetic Progressions Class 10 Multiple Choice Test

/10

Thank you for answering the multiple choice test

Arithmetic Progressions Class 10 (100501)

General Instruction:

1. There are 10 MCQ’s in the Test.

2. Passing %age is 50.

3. After time gets over, test will be submitted itself.

1 / 10

What is the motivation behind studying arithmetic progression (A.P.)?

a) To learn about mathematical patterns.

b) To understand sequences and series.

c) To solve real-world problems involving regular increments or decrements.

d) All of the above.

2 / 10

The sum of the first n terms of an arithmetic progression is 340. If the first term is 5, what is the 10th term?

a) 25

b) 30

c) 35

d) 40

3 / 10

If a, b, c are in arithmetic progression, then the value of $$\frac{1}{a} + \frac{1}{c}$$ is:

a) $$\frac{2}{b}$$

b) $$\frac{2}{c}$$

c) $$\frac{2}{a}$$

d) $$\frac{1}{b}$$

4 / 10

If the first term of an arithmetic progression is 8 and the 15th term is 68, what is the common difference?

a) 3

b) 4

c) 5

d) 6

5 / 10

The sum of first 20 terms of an arithmetic progression is 340. What is the 10th term if the first term is 5?

a) 25

b) 30

c) 35

d) 40

6 / 10

How do we apply arithmetic progression in solving daily life problems?

a) Calculating the average age of a group.

b) Determining the total distance traveled by a moving object.

c) Finding the number of years required to repay a loan.

d) All of the above.

7 / 10

How can we find the sum of the first ‘n’ terms of an arithmetic progression?

a) Using the formula $$S_n = \frac{n}{2} (2a + (n-1)d)$$

b) Adding all ‘n’ terms individually.

c) Multiplying the first and last terms by the number of terms and dividing by 2.

d) Subtracting the last term from the first term.

8 / 10

In an arithmetic progression, what happens when the common difference ‘d’ is negative?

a) The terms decrease by ‘d’ units as we move forward.

b) The terms increase by ‘d’ units as we move forward.

c) The terms remain constant.

d) The progression becomes irregular.

9 / 10

In an arithmetic progression, what does the common difference represent?

a) The difference between any two consecutive terms.

b) The ratio of any two consecutive terms.

c) The product of any two consecutive terms.

d) The sum of any two consecutive terms.

10 / 10

Which term of the arithmetic progression 3, 7, 11, 15, … is 31?

a) 10th term

b) 11th term

c) 12th term

d) 13th term