If $a,b,c$ are in $GP$ then $\log a,\log b,\log c$ are in

Important Questions on Sequences and Series (AP, GP, HP)

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 98

If $y=x+x^2+x^3+\dots \infty$ then $x= ?$

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 99

If $x=1+a+a^2+\dots \infty$ and $y=1+b+b^2+\dots \infty ,$ where $\left|a\right|<1$ and $\left|b\right|<1$ then $\left(1+ab+a^2{b}^2+\dots \infty \right)=?$

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 100

If $x=\left(a+\frac{a}{r}+\frac{a}{r^2}+\dots \infty \right),y=\left(b-\frac{b}{r}+\frac{b}{r^2}-\dots \infty \right)$ and $z=\left(c+\frac{c}{r^2}+\frac{c}{r^4}+\dots \infty \right)$ then $\frac{xy}{z}=?$

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 101

If $a,b,c$ are in $\mathrm{AP}; a,x,b$ and $b,y,c$ are in $\mathrm{GP}$ then $x^2,b^2,y^2$ are in

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 102

If $a,b,c$ are in $\mathrm{AP}$ and $a,b,d$ are in $\mathrm{GP}$ then $a,(a-b),(d-c)$ are in

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 103

If $p^{th}$, $q^{th}$ and $r^{th}$ terms of a $GP$ be $a,b,c$ respectively then $a^{(q-r)}{b}^{(r-p)}$$c^{(p-q)}=?$

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 104

If $a,b,c$ are in $\mathrm{AP}$ then $bc,ca,ab$ are in

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 105

If $a^2,b^2,c^2$ are in $\mathrm{AP}$ then $(b+c),(c+a),(a+b)$ are in