Mashaal Masha
Mashaal Masha
 Sep 29, 2022
0
Choose the correct options for the following questions.
Which of the following series converges?
Difficulty: Easy
A:
$S=-1-1-1- \space...$
B:
$S=1+\frac{1}{2}+\frac{1}{4} + \space...$
C:
$S=1+1+1+ \space...$
D:
$S=2+4+8+ \space...$
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$\sum_{n=0}^\infty \frac{1}{2^{n-1}}=$
Difficulty: Easy
A:
$2$
B:
$-2$
C:
4
D:
16
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Calculate $S_{8}$ when $a_{1}=8$ and $r= -\frac{1}{2}$
Difficulty: Easy
A:
$-\frac{25}{2}$
B:
$\frac{85}{16}$
C:
$\frac{55}{8}$
D:
$-\frac{95}{32}$
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The 11th term of the series $2,\frac{5}{2},3\space ...$ will be
Difficulty: Easy
A:
$\frac{11}{2}$
B:
$\frac{14}{2}$
C:
$\frac{11}{2}$
D:
$\frac{22}{2}$
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$\sum_{n=0}^\infty \frac{1}{2^{n}}=$
Difficulty: Easy
A:
$\frac{1}{2}$
B:
1
C:
2
D:
4
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What is the G.M of $32$ and $64$
Difficulty: Easy
A:
$45.25$
B:
$48$
C:
$-48$
D:
$-45.25$
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Sum the series $1+3+5+\space...$ up to $n$ terms
Difficulty: Easy
A:
$n^{2}$
B:
ln $e^{2}$
C:
$2^{n}$
D:
$n^{e}$
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What are the three AMs between $-18$ and $4$?
Difficulty: Easy
A:
$1,2,3$
B:
$12.5,7,1.5$
C:
$-12.5,-7,-1.5$
D:
AM can not be found between a negative and a positive number
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What is the sum of the first 50 natural numbers?
Difficulty: Easy
A:
500
B:
1200
C:
1275
D:
8900
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What is the nth term of the sequence $1,3,5,7 \space ...$
Difficulty: Easy
A:

$2n - 1$

B:

$2n + 3$

C:

$2n$

D:

It is impossible to find the nth term for such a sequence

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