Question

Find the 11th term of the A.P -3,-1/2,2..

Answer 1

an=a+(n-1)d
n=11        a=-3      d=5/2
hence 11th term =-3+(11-1)*5/2
                           =22
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Answer 2

Answer:

The 11th term of the A.P is 22.

Step-by-step explanation:

To find : The 11th term of the A.P $-3,-\frac{1}{2},2,...$

Solution :

The A.P $-3,-\frac{1}{2},2,...$

Where,

The first term is a=-3

The common term is $d=-\frac{1}{2}-(-3)=-\frac{1}{2}+3=\frac{5}{2}$

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

Here, n=11

Substitute the in the formula,

$a_{11}=-3+(11-1)\frac{5}{2}$

$a_{11}=-3+(10)\frac{5}{2}$

$a_{11}=-3+25$

$a_{11}=22$

Therefore, The 11th term of the A.P is 22.