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16 questions · timed · auto-graded

MCQ 11 Mark
For a $G. P.$, if $r=1$ and $S _5=625$, find the first term.
  • A
    $25$
  • $125$
  • C
    $625$
  • D
    $5$
Answer
Correct option: B.
$125$
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MCQ 21 Mark
Find the sum of the first five terms of a $G$ $P .4,2,1, \ldots$
  • A
    $\frac{1}{4}$
  • $\frac{31}{4}$
  • C
    $4$
  • D
    $\frac{31}{2}$
Answer
Correct option: B.
$\frac{31}{4}$
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MCQ 31 Mark
Find the $n$th term of a $G. P.$ $a b, a b^2, a b^3 \ldots$
  • A
    $a b^{n-1}$
  • B
    $a b^{n+1}$
  • $a b^n$
  • D
    $a\left(b^{\prime \prime}-1\right)$
Answer
Correct option: C.
$a b^n$
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MCQ 51 Mark
If $x, 4.5,13.5$ are in $G$$. P.$, find the value of $x$.
  • A
    $9$
  • B
    $20.25$
  • C
    $3$
  • $1.5$
Answer
Correct option: D.
$1.5$
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MCQ 71 Mark
If the first term is $4$ and common ratio is $2$ for a $G$. $P$., find $S_1$.
  • $4$
  • B
    $8$
  • C
    $2$
  • D
    $\frac{1}{4}$
Answer
Correct option: A.
$4$
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MCQ 81 Mark
Find the common ratio of a $G\ P$ $,-250,-50,-10, \ldots$
  • A
    $5$
  • $\frac{1}{5}$
  • C
    $-\frac{1}{5}$
  • D
    $-5$
Answer
Correct option: B.
$\frac{1}{5}$
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MCQ 91 Mark
For a $G , P _r, T _1=a, T _3=\frac{1}{a}$, where $a>0$. Obtain its fifth term.
  • A
    $a^3$
  • $\frac{1}{a^3}$
  • C
    $1$
  • D
    $\frac{1}{a}$
Answer
Correct option: B.
$\frac{1}{a^3}$
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MCQ 101 Mark
Which term of a $G. P.$ $5,10,20, \ldots$ is $1280$ ?
  • A
    Seventh
  • B
    Eighth
  • Nineth
  • D
    Sixth
Answer
Correct option: C.
Nineth
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MCQ 111 Mark
Find the sixth term of a $G. P.$ $\frac{1}{16}, \frac{1}{4}, 1, \ldots$
  • A
    $16$
  • $64$
  • C
    $1024$
  • D
    $\frac{1}{64}$
Answer
Correct option: B.
$64$
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MCQ 121 Mark
For a $G. P.$ $1, \sqrt{2}, 2, \ldots$, find the seventh term.
  • $8$
  • B
    $4 \sqrt{2}$
  • C
    $8 \sqrt{2}$
  • D
    $16$
Answer
Correct option: A.
$8$
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MCQ 131 Mark
For a $G. P.$, the first term is $a$ and the common ratio is $b$. Find the $(n+2)$ th term.
  • A
    $a b^i$
  • $a b^{n+1}$
  • C
    $b d^{n+1}$
  • D
    $a b^{i-1}$
Answer
Correct option: B.
$a b^{n+1}$
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MCQ 141 Mark
If $n$th term of a $G. P.$ is $5 \times 2^n$, what is the fourth term ?
  • A
    $96$
  • B
    $16$
  • $80$
  • D
    $40$
Answer
Correct option: C.
$80$
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MCQ 151 Mark
What is the common ratio of a $G. P.$ $0.5,0.05,0.005, \ldots$ ?
  • A
    $0.5$
  • $0.1$
  • C
    $0.01$
  • D
    $10$
Answer
Correct option: B.
$0.1$
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MCQ 161 Mark
What is the fifth term of a $G. P.$ $0.4,2,10, \ldots ?$
  • A
    $625$
  • B
    $50$
  • C
    $1250$
  • $250$
Answer
Correct option: D.
$250$
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MCQ - Statistics STD 11 Commerce Questions - Vidyadip