MCQ 11 Mark
$\sum_{k=1}^{11}\left(2+3^k\right)=$
- A
$\frac{41+3^{10}}{2}$
- B
$\frac{41+3^{12}}{2}$
- C
$41+3^{12}$
- D
$\frac{44+3^{12}}{2}$
View full question & answer→MCQ 21 Mark
Given a G.P. with $a=729$ and $7$th term as $64$ , then $S _7=$
View full question & answer→MCQ 31 Mark
________terms of the G.P. $3, \frac{3}{2}, \frac{3}{4}, \ldots$ are needed to give the sum $\frac{3069}{512}$.
View full question & answer→MCQ 41 Mark
If the sum of the G.P. $1,4,16 \ldots$ is $341$ , then the number of terms in the G.P. is :
View full question & answer→MCQ 51 Mark
The sum of first 6 terms of the G.P. $1,-\frac{2}{3},-\frac{4}{9}, \ldots$. is :
- A
$\frac{-133}{243}$
- B
$\frac{133}{243}$
- C
$\frac{793}{1215}$
- D
$\frac{667}{1215}$
View full question & answer→MCQ 61 Mark
The sum of the first 8 terms of the series $1+\sqrt{3}+3+\ldots$ is :
View full question & answer→MCQ 71 Mark
The sum of the first 5 terms of the list of numbers $3,6,12, \ldots$ is :
View full question & answer→MCQ 81 Mark
If $l$ is the last term of a G.P with $a$ as the first term and $r$ as the common ratio, then $S _n=$ ________ ,$r \neq 1$.
- A
$\frac{a+l r}{1+r}$
- B
$\frac{a-l r}{1+r}$
- C
$\frac{a-l r}{1-r}$
- D
$\frac{a+l r}{1-r^2}$
View full question & answer→MCQ 91 Mark
If $a$ is the first term and $r$ is the common ratio of a G.P., then $S _n=$ ________ , where $r \neq 1$.
- A
$\frac{a\left(1-r^{n-1}\right)}{1-r}$
- B
$\frac{a\left(1-r^{\prime \prime}\right)}{1-r}$
- C
$\frac{a\left(1-r^{n+1}\right)}{1-r}$
- D
$a r^{n-1}$
View full question & answer→MCQ 101 Mark
If the first and the $n$th terms of a G.P. are $a$ and $b$ respectively, and if $p$ is the product of first $n$ terms, then $p^2=$
- A
$a b$
- B
$a b^n$
- C
$(a b)^n$
- D
View full question & answer→MCQ 111 Mark
If $x, 2 y, 3 z$ are in A.P. where the distinct numbers $x, y, z$ are in G.P., then the common ratio of the G.P. is :
View full question & answer→MCQ 121 Mark
$........$ term of the $G.P. 18,12,8, \ldots$ is $\frac{512}{729}$.
- ✓
$12^{th}$
- B
$10^{th}$
- C
$9^{th}$
- D
$11^{th}$
AnswerCorrect option: A. $12^{th}$
$12^{th}$
View full question & answer→MCQ 131 Mark
If $k, 2(k+1), 3(k+1)$ are three consecutive terms of a G.P., then the value of $k$ is :
View full question & answer→MCQ 141 Mark
The 5th term from the end of the G.P. $2,6,18, \ldots, 13122$ is :
View full question & answer→MCQ 151 Mark
The 11th term of the G.P. $\frac{1}{8}, \frac{-1}{4}, 2,-1, \ldots$ is :
View full question & answer→MCQ 161 Mark
The list of numbers $\frac{1}{9}, \frac{-1}{3}, 1,-3, \ldots$ is a G.P. with $r=$
- A
$-3$
- B
$\frac{-1}{3}$
- C
$3$
- D
$\frac{1}{3}$
View full question & answer→MCQ 171 Mark
If the product of numbers in G.P. is given, then four numbers are taken as ________ respectively.
- A
$a r^2, a r^3, a r, \frac{a}{r}$
- B
$\frac{a}{r^2}, \frac{a}{r}, a r, a r^3$
- C
$\frac{a}{r^3}, \frac{a}{r}, a r, a r^3$
- D
$\frac{a}{r^2}, \frac{a}{r}, a r, a r^2$
View full question & answer→MCQ 181 Mark
If $a, a r, a r^2, \ldots$ is a finite G.P. with last term $l$, then $n$th term from end $=$
- A
$\left(\frac{1}{r}\right)^{n-1}$
- B
$l\left(\frac{1}{r}\right)^n$
- C
$l\left(\frac{1}{r}\right)^{n-1}$
- D
$l r^{n-1}$
View full question & answer→MCQ 191 Mark
The numbers $a, b, c$ are in G.P. if
- A
$a^2=b c$
- B
$b^2=a c$
- C
$c^2=a b$
- D
$a-b=b-c$
View full question & answer→MCQ 201 Mark
If $a, a r, a r^2, \ldots$ is a finite G.P. consisting of $m$ terms, then $n$th term from end is :
- A
$a r^{m-n}$
- B
$a r^m$
- C
$a r^{m+n}$
- D
$a r^{m+n-2}$
View full question & answer→MCQ 211 Mark
If a finite G.P. $a, a r, a r^2, \ldots$ contains $n$ terms and its last term is $l$, then $l=$
- A
$\frac{a}{r^{n-1}}$
- B
$a r^{n-1}$
- C
$a r^{n+1}$
- D
$a r^n$
View full question & answer→MCQ 221 Mark
If $a, a r, a r^2, \ldots$ is a G.P., then its general term is denoted by $T _n=$
- A
$a r^n$
- B
$a r^{n+1}$
- C
$a r^{n-1}$
- D
$a r$
View full question & answer→MCQ 231 Mark
The list of numbers $a_1, a_2, a_3, \ldots$ forms a G.P. if and only if ________ $=r$, a fixed number.
- A
$\frac{a_{n+1}}{a_n}$
- B
$\frac{a_n}{a_{n+1}}$
- C
$\frac{a_{n-1}}{a_n}$
- D
View full question & answer→MCQ 241 Mark
A list of numbers in which each term is obtained by ________ its preceding term by a fixed (non-zero) number, except the first term, is called a geometric progression.