- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Choose the correct answer from the given four options:

The $ 11^{\text {th }} $ term of the AP: $ -5, \frac{-5}{2}, 0, \frac{5}{2}, \ldots $ is

**(A)** $ -20 $

**(B)** 20

**(C)** $ -30 $

**(D)** 30

Given:

AP: \( -5, \frac{-5}{2}, 0, \frac{5}{2}, \ldots \)

To do:

We have to find the \( 11^{\text {th }} \) term of the AP.

Solution:

Here,

$a_1 = -5, a_2=\frac{-5}{2}$

This implies,

$d=a_2-a_1$

$=\frac{-5}{2}-(-5)$

$=\frac{-5+10}{2}$

$=\frac{5}{2}$

Therefore,

$a_{11}=a+(11-1)d$

$=-5+10\times \frac{5}{2}$

$=-5+25$

$=20$

Therefore, the \( 11^{\text {th }} \) term of the AP is 20.

- Related Articles
- Choose the correct answer from the given four options:The \( 4^{\text {th }} \) term from the end of the AP: \( -11,-8,-5, \ldots, 49 \) is(A) 37(B) 40(C) 43(D) 58
- Choose the correct answer from the given four options:If the \( 2^{\text {nd }} \) term of an AP is 13 and the \( 5^{\text {th }} \) term is 25 , what is its \( 7^{\text {th }} \) term?(A) 30(B) 33(C) 37(D) 38
- Choose the correct answer from the given four options:Which term of the AP: \( 21,42,63,84, \ldots \) is 210 ?(A) \( 9^{\mathrm{th}} \)(B) \( 10^{\text {th }} \)(C) \( 11^{\text {th }} \)(D) \( 12^{\text {th }} \)
- Choose the correct answer from the given four options:If the common difference of an AP is 5 , then what is \( a_{18}-a_{13} \) ?(A) 5(B) 20(C) 25(D) 30
- Choose the correct answer from the given four options:If 7 times the \( 7^{\text {th }} \) term of an AP is equal to 11 times its \( 11^{\text {th }} \) term, then its 18 th term will be(A) 7(B) 11(C) 18(D) 0
- Choose the correct answer from the given four options:If the first term of an \( \mathrm{AP} \) is \( -5 \) and the common difference is 2 , then the sum of the first 6 terms is(A) 0(B) 5(C) 6(D) 15
- Choose the correct answer from the given four options in the following questions:If \( \frac{1}{2} \) is a root of the equation \( x^{2}+k x-\frac{5}{4}=0 \), then the value of \( k \) is(A) 2(B) \( -2 \)(C) \( \frac{1}{4} \)(D) \( \frac{1}{2} \)
- Choose the correct answer from the given four options:The sum of first 16 terms of the AP: \( 10,6,2, \ldots \) is(A) \( -320 \)(B) 320(C) \( -352 \)(D) \( -400 \)
- The ratio of the \( 11^{\text {th }} \) term to the \( 18^{\text {th }} \) term of an AP is \( 2: 3 \). Find the ratio of the \( 5^{\text {th }} \) term to the 21 term
- Choose the correct answer from the given four options:The first four terms of an AP, whose first term is \( -2 \) and the common difference is \( -2 \), are(A) \( -2,0,2,4 \)(B)\( -2,4,-8,16 \)(C) \( -2,-4,-6,-8 \)(D) \( -2,-4,-8,-16 \)
- Choose the correct answer from the given four options in the following questions:Which of the following equations has two distinct real roots?(A) \( 2 x^{2}-3 \sqrt{2} x+\frac{9}{4}=0 \)(B) \( x^{2}+x-5=0 \)(C) \( x^{2}+3 x+2 \sqrt{2}=0 \)(D) \( 5 x^{2}-3 x+1=0 \)
- Choose the correct answer from the given four options:The \( 21^{\text {st }} \) term of the AP whose first two terms are \( -3 \) and 4 is(A) 17(B) 137(C) 143(D) \( -143 \)
- Which of the following is a smaller fraction?a) \( \frac{4}{5} \)b) \( \frac{5}{3} \)c) \( \frac{5}{6} \)d) \( \frac{5}{2} \)
- Choose the correct answer from the given four options:The list of numbers \( -10,-6,-2,2, \ldots \) is(A) an AP with \( d=-16 \)(B) an AP with \( d=4 \)(C) an AP with \( d=-4 \)(D) not an AP
- If the lines given by \( 3 x+2 k y=2 \) and \( 2 x+5 y+1=0 \) are parallel, then the value of \( k \) is(A) \( \frac{-5}{4} \)(B) \( \frac{2}{5} \)(C) \( \frac{15}{4} \),b>(D) \( \frac{3}{2} \)

Advertisements