11th term of the AP-3- -1-2- 2 - is

The correct option is B 22Given AP = 3 , 1/2 , 2 ... First term (a) = 3 Common difference: (d) = 1/2 ( 3) ⇒ d = 5/2 Here n =11 We know that, a_n = a +( ...

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Byju's Answer

Standard X

Mathematics

Sum of 'n' Terms When 'a' and 'l' Is Given

11th term of ...

Question

11th term of the AP:
$- 3, \frac{- 1}{2}, 2 . . .$ is

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Solution

The correct option is B 22
Given AP = $- 3, \frac{- 1}{2}, 2 . . .$
First term (a) = -3
Common difference:
$(d) = \frac{- 1}{2} - (- 3)$
$\Rightarrow d = \frac{5}{2}$
Here n =11
We know that,
$a_{n} = a + (n - 1) \times d$
$a_{11} = - 3 + (11 - 1) \times \frac{5}{2}$
$a_{11} = - 3 + 25 = 22$
$11^{t h}$ term is $22$ .
Hence, the correct answer is option (B).

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11th term of the AP: −3,−12,2... is

The correct option is B 22Given AP = −3,−12,2... First term (a) = -3 Common difference: (d)=−12−(−3) ⇒d=52 Here n =11 We know that, an=a+(n−1)×d a11=−3+(11−1)×52 a11=−3+25=2211th term is 22. Hence, the correct answer is option (B).

11th term of the AP:
$- 3, \frac{- 1}{2}, 2 . . .$ is