Vidaara.orgClass 10 · Mathematics
CodeVID-M10-05-API-01
Introduction to AP — Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
The constant difference in an AP is the:
- A.first term
- B.common difference
- C.common ratio
- D.mean
2.
The common difference of $1,4,7,10$ is:
- A.$1$
- B.$3$
- C.$4$
- D.$7$
3.
Which is an AP?
- A.$1,4,9,16$
- B.$2,4,6,8$
- C.$1,2,4,8$
- D.$1,1,2,3$
4.
The next term of $5,9,13,\dots$ is:
- A.$15$
- B.$17$
- C.$18$
- D.$16$
5.
An AP with $d=0$ is a:
- A.GP
- B.constant sequence
- C.finite set
- D.decreasing AP
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the common difference of $7,4,1,-2$.
7.
Write the next two terms of $2,5,8,\dots$
8.
Is $100,90,80$ an AP?
9.
Find $d$ if the first term is $3$ and the second term is $7$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the common difference and 5th term of $2,6,10,\dots$
11.
Is $1,3,5,7$ an AP? Find $d$.
12.
Write the first four terms of an AP with first term $5$ and $d=-2$.
13.
Find the missing term: $4,\ \_\_,\ 10$ (in AP).
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
For what value of $k$ are $k+9,\ 2k-1,\ 2k+7$ in AP?
15.
Three numbers in AP have sum $21$ and product $231$. Find them.
Answer Key
Section A — Multiple Choice Questions
- (B) common difference
- (B) $3$
- (B) $2,4,6,8$
- (B) $17$
- (B) constant sequence
Section B — Short Answer (2 marks)
- $-3$.
- $11,\ 14$.
- Yes ($d=-10$).
- $4$.
Section C — Short Answer (3 marks)
- $d=4$; 5th term $18$.
- Yes, $d=2$.
- $5,3,1,-1$.
- $7$.
Section D — Long Answer (5 marks)
- $k=18$.
- $3,7,11$.
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