Arithmetic Progressions Class 10 Mcq Test (100501)

Which term of the arithmetic progression 3, 7, 11, 15, \(\ldots\) is 31?

a) 10th term

b) 11th term

c) 12th term

d) 13th term

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

a) 10th term

b) 11th term

c) 12th term

d) 13th term

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 sum of all the terms from 10 to 90 in an arithmetic progression where the first term is 5 and the common difference is 3?

a) 3000

b) 3100

c) 3200

d) 3300

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 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.

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.

What does 'a' represent in the nth term formula of an A.P.?

a) The common difference.

b) The first term.

c) The last term.

d) The number of terms.

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

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.