Choose the correct choice in the following and justify:
(ii) $11^{t h} t e r m o f t h e A . P - 3, \frac{- 1}{2}, 2 i s$

A) 28
B) 22
C) -38
D) 44

Open in App

Solution

$G i v e n t h a t A . P . i s - 3, \frac{- 1}{2}, 2 \dots \dots F i r s t t e r m a = - 3 C o m m o n d i f f e r e n c e, d = a_{2} - a_{1} = (\frac{- 1}{2}) - (- 3) = (\frac{- 1}{2}) + 3 = \frac{5}{2} W e k n o w t h a t, a_{n} = a + (n - 1) d a_{11} = 3 + (11 - 1) (\frac{5}{2}) a_{11} = 3 + (10) (\frac{5}{2}) a_{11} = - 3 + 25 a_{11} = 22$
Hence, the answer is option B.

Suggest Corrections

Similar questions

Question 2 (ii)
Choose the correct choice in the following and justify.
(ii) $11^{t h} t e r m o f t h e A . P - 3, \frac{- 1}{2}, 2 i s$

A) 28
B) 22
C) -38
D) 44

Question 2 (ii)
Choose the correct choice in the following and justify.
(ii) $11^{t h} t e r m o f t h e A . P - 3, \frac{- 1}{2}, 2 i s$

A) 28
B) 22
C) -38
D) 44