Vidaara.orgClass 8 · Mathematics
CodeVID-M08-07-AP-01
Arithmetic Progressions - 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.
In an AP the common difference is:
- A.changing
- B.constant
- C.a ratio
- D.zero always
2.
The $n$-th term of an AP is:
- A.$a+nd$
- B.$a+(n-1)d$
- C.$ar^{n-1}$
- D.$an$
3.
For $2, 5, 8, 11$, $d=$
- A.$2$
- B.$3$
- C.$5$
- D.$1$
4.
The first term of $7, 10, 13$ is:
- A.$3$
- B.$7$
- C.$10$
- D.$13$
5.
The sum of $n$ terms is:
- A.$\tfrac{n}{2}(2a+(n-1)d)$
- B.$na$
- C.$ar^{n-1}$
- D.$a+(n-1)d$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find $d$ for $4, 9, 14$.
7.
Find the next term: $3, 7, 11, \ldots$
8.
Find the 5th term of $2, 4, 6, \ldots$
9.
Is $1, 2, 4, 8$ an AP?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the 10th term of the AP $3, 7, 11, \ldots$
11.
Find the common difference and 6th term of $5, 8, 11, \ldots$
12.
How many terms are there in $2, 5, 8, \ldots, 29$?
13.
Find the sum of the first $5$ terms of $1, 3, 5, 7, 9$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
For the AP $7, 12, 17, \ldots$, find the 15th term and the sum of the first $15$ terms.
15.
The 4th term of an AP is $14$ and the 7th term is $23$. Find the first term and common difference.
Answer Key
Section A — Multiple Choice Questions
- (B) constant
- (B) $a+(n-1)d$
- (B) $3$
- (B) $7$
- (A) $\tfrac{n}{2}(2a+(n-1)d)$
Section B — Short Answer (2 marks)
- $5$.
- $15$.
- $10$.
- No.
Section C — Short Answer (3 marks)
- $39$.
- $d=3$; 6th term $20$.
- $10$.
- $25$.
Section D — Long Answer (5 marks)
- $t_{15}=77$; $S_{15}=630$.
- $a=5,\ d=3$.
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