You visited us 4 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

General Form of an AP

Question 2 ii...

Question

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

Open in App

Solution

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

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

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

Choose the correct choice in the following and justify

I. 30^th term of the A.P: 10, 7, 4, …, is

A. 97 B. 77 C. − 77 D. − 87

II 11^th term of the A.P. is

A. 28 B. 22 C. − 38 D.

Q. Choose the correct choice in the following and justify :
(i)

30^{t h}

term of the AP:

10, 7, 4, . . .

, is
(A)

97

(B)

77

(C)

- 77

(D)

87

(ii)

11^{t h}

term of the AP:

- 3, - \frac{1}{2}, 2

,...., is
(A)

28

(B)

22

(C)

38

(D)

- 48 \frac{1}{2}

Q. Question 2 (i)
Choose the correct choice in the following and justify.
(i)

30^{t h}

term of the A. P: 10, 7, 4, ….., is

A) 97
B) 77
C) -77
D) 87

Join BYJU'S Learning Program

Question 2 (ii) Choose the correct choice in the following and justify. (ii) 11th term of the A.P −3,−12,2 is A) 28 B) 22 C) -38 D) ​​​​​​​ 44

The answer is B. Given that, A.P. is −3,−12,2……First term a=−3Common difference,d=a2−a1=(−12)−(−3)=(−12)+3=52We know that, an=a+(n−1)da11=−3+(11−1)(52)a11=−3+(10)(52)a11=−3+25a11=22

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