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Which of the following statement(s) is/are correct? Here a a a and r r r have their usual meaning: (A) a , a r , a r 2 , … a, ar, ar^2, \ldots a , a r...

CUET Easy Sequence & Series (AP, GP, HP) MCQ

Question

Which of the following statement(s) is/are correct? Here

aa
and
rr
have their usual meaning:

(A)

a,ar,ar2,…a, ar, ar^2, \ldots
is a G.P.
(B)
nthn^{th}
term of a G.P. is
an=arn−ta_n = ar^{n-t}
.
(C)
nthn^{th}
term of a G.P. is
an=arn+1a_n = ar^{n+1}
.
(D) Sum of first
nn
terms of a G.P. is
Sn=a(rn−1r−1),r≠1S_n = a \left(\frac{r^n - 1}{r - 1}\right), r \neq 1
.
(E)
4,16,256,…4, 16, 256, \ldots
is a G.P.

Choose the correct answer from the options given below:
(a) (A) and (B) only
(b) (C) and (D) only
(c) (A), (B), (D), and (E) only
(d) (A), (B), and (D) only

Options

A.

A & B ONLY

B.

C & D ONLY

C.

A ,B & E ONLY

D.

A ,B & D ONLY

geometric progressionsequencealgebra basicscuet 2023

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