Arithmetic Progressions Class 10 Mcq Test (100501)

Which of the following situations is best represented by an arithmetic progression?

a) Growth of bacteria population.

b) Depreciation of car value.

c) Annual salary increment.

d) Fluctuating stock prices.

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) \(\frac{1}{b}\)

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

If the first term of an A.P. is a, the second term is b, and the third term is c, what is the value of b in terms of a and c?

a) \(b=a+c\)

b) \(b=a-c\)

c) \(b=\frac{a+c}{2}\)

d) \(b=\frac{a-c}{2}\)

Which formula represents the nth term of an arithmetic progression?

a) \( a_n = a + (n-1)d \)

b) \( a_n = a + nd \)

c) \( a_n = a \times d^{n-1} \)

d) \( a_n = a \times d^n \)

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.

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

a) Calculating monthly expenses.

b) Determining the amount saved over time with fixed deposits.

c) Predicting future population growth.

d) All of the above.

In an arithmetic progression, if the sum of the first 10 terms is 120, what is the sum of the next 10 terms?

a) 240

b) 260

c) 280

d) 300

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.

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