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Standard XI

Mathematics

Geometric Progression

The first ter...

Question

The first term of the G.P is 1 . If ${(p + q)}^{t h}$ term of G.P. is `a` and it's ${(p - q)}^{t h}$ term is `b` where a, b ∈ $R^{+}$ then it's $p^{t h}$ term is:

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Solution

The correct option is C

$T_{P + Q}$ = $r^{p + q - 1}$ , $T_{p - q}$ = $r^{p - q - 1}$ ⇒ $T_{P}$ = $\sqrt{r^{(p - 1)^{2}}}$ = $\sqrt{r^{p + q - 1}, r^{p - q - 1}}$ = $\sqrt{a b}$

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Similar questions

The first term of the G.P is 1 . If ${(p + q)}^{t h}$ term of G.P. is `a` and it's ${(p - q)}^{t h}$ term is `b` where a, b ∈ $R^{+}$ then it's $p^{t h}$ term is:

Q. If

(p + q)^{th}

term of a G.P. is

^{'} a^{'}

and its

(p - q)^{th}

term is

^{'} b^{'}

where

a, b \in R^{+}

, then its

p^{th}

term is

Q. If

(p + q)^{th}

term of a G.P. is

^{'} a^{'}

and its

(p - q)^{th}

term is

^{'} b^{'}

where

a, b \in R^{+}

, then its

p^{th}

term is

If the $(p + q)^{t h}$ term of a G.P. is m and $(p - q)^{t h}$ term is n, then pth term will be _____.

Q. In G.P.

(p + q)^{t h}

term is m,

(p - q)^{t h}

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The first term of the G.P is 1 . If (p+q)th term of G.P. is `a` and it's (p−q)th term is `b` where a, b ∈ R+ then it's pth term is:

The correct option is C TP+Q = rp+q−1, Tp−q = rp−q−1 ⇒ TP = √r(p−1)2 = √rp+q−1,rp−q−1 = √ab

The first term of the G.P is 1 . If ${(p + q)}^{t h}$ term of G.P. is `a` and it's ${(p - q)}^{t h}$ term is `b` where a, b ∈ $R^{+}$ then it's $p^{t h}$ term is:

The correct option is C

$T_{P + Q}$ = $r^{p + q - 1}$ , $T_{p - q}$ = $r^{p - q - 1}$ ⇒ $T_{P}$ = $\sqrt{r^{(p - 1)^{2}}}$ = $\sqrt{r^{p + q - 1}, r^{p - q - 1}}$ = $\sqrt{a b}$