Tag: maths
Questions Related to maths
Which of the following is a general form of geometric sequence?
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{$2, 4, 6, 8, 10$}
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{$-1, 2, 4, 8, -2$}
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{$2, -2, 2, -2, 2$}
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{$3, 13, 23, 33, 43$}
{$2, -2, 2, -2, 2$} is a general form of geometric sequence.
The common ratio is calculated in
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A.P.
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G.P.
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H.P.
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I.P.
The common ratio is calculated in G.P.
For example: $2,4,8,16,....$
The series $a, ar, ar^2, ar^3, ar^4....$ is an
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finite geometric progression
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finite harmonic progression
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infinite geometric progression
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finite arithmetic progression
$a, ar, ar^2, ar^3, ar^4....$ is an infinite geometric progression.
The general form of GP $a, ar, ar^2, ar^3, ar^4$ is a
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finite geometric progression
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finite harmonic progression
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infinite geometric progression
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finite arithmetic progression
Given sequence is $a,ar,ar^2, ar^3, ar^4$.
$1 + 0.5 + 0.25 + 0.125....$ is an example of
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finite geometric progression
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infinite geometric series
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finite geometric sequence
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infinite geometric progression
$1 + 0.5 + 0.25 + 0.125....$ is an example of infinite geometric progression.
Here the common ratio is $0.5$.
An infinite geometric series is the sum of an infinite geometric progression.
How will you identify the sequence is an infinite geometric progression?
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An geometric sequence containing finite number of terms
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An geometric sequence containing infinite number of terms
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An arithmetic sequence containing infinite number of terms
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An arithmetic sequence containing finite number of terms
An geometric sequence containing infinite number of terms. It has a common ratio which is same throughout.
Example: $1 + 0.5 + 0.25 + 0.125....$ is an infinite geometric sequence.
Here the common ratio is $0.5$.
How would you find the sequence is finite geometric sequence?
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An arithmetic sequence containing finite number of terms
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A geometric sequence containing finite number of terms
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An arithmetic sequence containing infinite number of terms
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A geometric sequence containing infinite number of terms
If a sequence is a finite geometric sequence, then :
it will be a geometric sequence i.e. its ratio will be constant throughout.
Identify the finite geometric progression.
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$3, 6, 12, 24...$
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$81, 27, 9, 3..$
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$10 - 5 + 2.5 - 1.25.....$
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$1 + 0.5 + 0.25 + 0.125$
$1 + 0.5 + 0.25 + 0.125 $$ is a finite geometric progression.
Here the common ratio is $0.5$.
An finite geometric series is the sum of an finite geometric sequence.
Identify the correct sequence represents a infinite geometric sequence.
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$3, 6, 12, 24, 48$
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$1 + 2 + 4 + 8 +....$
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$1, -1, 1, -1, 1$
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$1, 3, 4, 5, 6....$
An infinite geometric series is the sum of an infinite geometric sequence.
So, $1 + 2 + 4 + 8 +....$ is an infinite geometric sequence.
Here the common ratio is $2$ and it is never ending.
If $\dfrac{a-b}{b-c}=\dfrac{a}{b}$, then $a, b, c $ are in
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GP
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HP
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AP
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SP
Given: