MEDIUM
11th ICSE
IMPORTANT
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The terms of a G.P. with first term a and common ratio r are squared. Prove that resulting sequence is also a G.P. Find its first term, common ratio and the nth term.

Important Questions on Sequences and Series

MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.5>Q 26
If a,b,c are in G.P. show that 1a,1b,1c are also in G.P.
MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.5>Q 26
If K is any positive real number and Ka,Kb,Kc are three consecutive terms of a G.P., prove that a,b,c are three consecutive terms of an A.P.
MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.5>Q 26
If p, q, r are in A.P., show that pth, qth and rth terms of any G.P. are themselves in G.P.
MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.5>Q 27
If a, b, c are in G.P., prove that a3,b3,c3  are also in G.P.
MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.5>Q 27
If a, b, c are in G.P., prove that a2+b2,ab+bc,b2+c2  are also in G.P.
MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.5>Q 28
If a,b,c,d are in G.P., show that a2+b2,b2+c2,c2+d2 are in G.P. 
MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.5>Q 28
If a,b,c,d are in G.P., show that (b-c)2+(c-a)2+(d-b)2=(a-d)2.
MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.5>Q 29
If pth term of a G.P. is p and qth term is Q prove that nth term is Pn-qQn-p1p-q.