🏫 Board➗ Maths

Arithmetic Progression

4 Board Maths previous year questions on Arithmetic Progression — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.

Q1 FREE PREVIEW

If the first term of an arithmetic progression is 2

and the common difference is 3 , then the \({n}^{\text{th }}\) term will be :

a

\(3\mathrm{n}+2\)

b

\(3n-1\)

c

\(2n-1\)

d

\(3n-2\)

✓ Correct answer: b)

\(3n-1\)

Explanation

We know that formula for the \({n}^{th}\) term of an A.P.

\({a}_{n}=a+(n−1)d\)

Where:

a= first term

= common difference

Substitute the given values

\(a=2,\ d=3\)

\({a}_{n}=2+(n−1)⋅3\)

\({a}_{n}=2+3n−3\)

\({a}_{n}=3n−1\)

Q2

\({11}^{\text{th }}\) term of the A. P. : \(-3,-\frac{1}{2},2,\ldots .\). is :

a

28

b

22

c

-38

d

\(-48\frac{1}{2}\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
Q3

\({11}^{\text{th }}\) term of the A.P. \(-3,-\frac{1}{2},2,\ldots \ldots\) is

a

28

b

22

c

\(-38\)

d

\(-48\frac{1}{2}\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
Q4

If 18,a,b,−3 are in A.P., then the value of a+b will be:

a

7

b

11

c

15

d

19

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149

Practice more Board Maths PYQs

Browse every Maths chapter, or explore the full Board question bank.

➗ All Maths chapters →