Vidaara.orgClass 10 · Mathematics
CodeVID-M10-05-NTH-01
General Form & nth Term — 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 $n$th term of an AP is:
- A.$a+nd$
- B.$a+(n-1)d$
- C.$ar^{n-1}$
- D.$nd$
2.
The 5th term of $1,4,7,\dots$ is:
- A.$10$
- B.$13$
- C.$16$
- D.$12$
3.
The $n$th term of $2,4,6,\dots$ is:
- A.$2n$
- B.$2n-1$
- C.$n+2$
- D.$2n+1$
4.
The 10th term of $5,10,15,\dots$ is:
- A.$45$
- B.$50$
- C.$55$
- D.$60$
5.
If $a_n=3n+1$, the common difference is:
- A.$1$
- B.$3$
- C.$4$
- D.$n$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the 10th term of $2,5,8,\dots$
7.
Find $a_n$ if $a=3,\ d=4$.
8.
Which term of $5,8,11,\dots$ is $50$?
9.
Find the 15th term of $7,4,1,\dots$
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the 20th term of $3,8,13,\dots$
11.
Which term of $21,18,15,\dots$ is $0$?
12.
The 7th term is $34$ and the 13th term is $64$. Find $a$ and $d$.
13.
Is $301$ a term of $5,11,17,\dots$?
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
The 17th term of an AP exceeds its 10th term by $7$. Find the common difference.
15.
Find the 31st term of an AP whose 11th term is $38$ and 16th term is $73$.
Answer Key
Section A — Multiple Choice Questions
- (B) $a+(n-1)d$
- (B) $13$
- (A) $2n$
- (B) $50$
- (B) $3$
Section B — Short Answer (2 marks)
- $29$.
- $4n-1$.
- 16th.
- $-35$.
Section C — Short Answer (3 marks)
- $98$.
- 8th.
- $a=4,\ d=5$.
- No.
Section D — Long Answer (5 marks)
- $d=1$.
- $178$.
Generated by Vidaara.org · Assignment VID-M10-05-NTH-01 · vidaara.org