If $a,x,b$ are in $GP$ then

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

HARD

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 70

The arithmetic mean of two numbers is $34$ and their geometric mean is $16 .$The numbers are

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 71

If $\frac{1}{3},x_1,x_2,9$ are in $GP$ then $x_2=?$

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 72

If the $n^{th}$ term of a $GP$ is $2^n$, the sum of its first $6$ terms is

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 73

$(1+\sqrt{3}+3+3\sqrt{3}+\dots$ up to $10$ terms $) = ?$

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 74

$(0.15+0.015+0.0015+\dots$ to $8$ terms $)=?$

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 75

$1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+\dots$ to $9$ terms $= ?$

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 76

$(3+6+12+\dots +1536)=?$

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 35 - Sequences and Series (AP, GP, HP)>EXERCISE>Q 77

$(2+6+18+54+\dots +4374)=?$