(B) Given the recurrence relation $a_n = a_{n-1} - 1$ for $n > 2$ with $a_2 = 2$.Step $1$: Calculate $a_3$:$a_3 = a_2 - 1 = 2 - 1 = 1$.Step $2$: Calcu

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(B) Given the recurrence relation $a_n = a_{n-1} - 1$ for $n > 2$ with $a_2 = 2$.Step $1$: Calculate $a_3$:$a_3 = a_2 - 1 = 2 - 1 = 1$.Step $2$: Calculate $a_4$:$a_4 = a_3 - 1 = 1 - 1 = 0$.Step $3$: Calculate $a_5$:$a_5 = a_4 - 1 = 0 - 1 = -1$.Thus,the value of $a_5$ is $-1$.

Competitive Quantitative Aptitude Progression and Sequence Progression and Sequence

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If $a_1 = a_2 = 2$ and $a_n = a_{n-1} - 1$ for $n > 2$,then $a_5$ is:

A
$1$
B
$-1$
C
$0$
D
$-2$

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Progression and Sequence

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Progression and Sequence

If the sum of the first $20$ terms of the series $\log_{(7^{1/2})} x + \log_{(7^{1/3})} x + \log_{(7^{1/4})} x + \dots$ is $460$,then $x$ is equal to

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Minimum value of $2 \sin^2 \theta + 8 \csc^2 \theta$ is (where $\theta \in R$):-

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Suppose that a function $f: R \rightarrow R$ satisfies $f(x+y)=f(x) f(y)$ for all $x, y \in R$ and $f(1)=3$. If $\sum_{i=1}^{n} f(i)=363$,then $n$ is equal to

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If $x, y, z$ are in $A.P.$ and $\tan^{-1} x, \tan^{-1} y, \tan^{-1} z$ are also in another $A.P.$,then:

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If $a_1 = a_2 = 2$ and $a_n = a_{n-1} - 1$ for $n > 2$,then $a_5$ is:

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If the sum of the first $20$ terms of the series $\log_{(7^{1/2})} x + \log_{(7^{1/3})} x + \log_{(7^{1/4})} x + \dots$ is $460$,then $x$ is equal to

Determine $k$ so that $\frac{2}{3}, k$ and $\frac{5}{8} k$ are the three consecutive terms of an $A.P.$

Minimum value of $2 \sin^2 \theta + 8 \csc^2 \theta$ is (where $\theta \in R$):-

Suppose that a function $f: R \rightarrow R$ satisfies $f(x+y)=f(x) f(y)$ for all $x, y \in R$ and $f(1)=3$. If $\sum_{i=1}^{n} f(i)=363$,then $n$ is equal to

If $x, y, z$ are in $A.P.$ and $\tan^{-1} x, \tan^{-1} y, \tan^{-1} z$ are also in another $A.P.$,then:

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