Question

The 11th term of the AP: –5, –5/2 , 0, 5/2 , ...is(A) –20 (B) 20 (C) –30 (D) 30

Answer 1

Answer:

Step-by-step explanation:

11 term of ap is 20

Answer 2

Option B - The 11th term of A.P is 20.

Step-by-step explanation:

Given : A.P –5, –5/2 , 0, 5/2 ,....

To find : The 11th term of the A.P ?

Solution :

The A.P is $-5, -\frac{5}{2} , 0, \frac{5}{2} ,....$

Here, the first term is a=-5

The common difference is $d=-\frac{5}{2}-(-5)=\frac{-5+10}{2}=\frac{5}{2}$

The nth term of the A.P is $a_n=a+(n-1)d$

Substitute the value,

$a_{11}=(-5)+(11-1)(\frac{5}{2})$

$a_{11}=-5+10\times \frac{5}{2}$

$a_{11}=-5+25$

$a_{11}=20$

Therefore, the 11th term of A.P is 20.

So, option b is correct.

#Learn more

IN aAP: the sum of 3rd and 5th terms of an a.p is 38 and sum of 7th and 10th terms of an a.p is 83,find the a.p

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