Arithmetic Progressions Class 10 Mcq Test (100501)

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.

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

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.

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.

The sum of first n terms of an A.P. is \(3n^2 + 2n\). What is the nth term of the A.P.?

a) 3n

b) 6n + 2

c) 3n + 2

d) 6n

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

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.

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