RD SHARMA Solutions for Class 11-science Maths Chapter 20 - Geometric Progressions
Chapter 20 - Geometric Progressions Exercise Ex. 20.1
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6(i)
Solution 6(i)
Question 6(ii)
Solution 6(ii)
Question 6(iii)
Solution 6(iii)
Question 6(iv)
Solution 6(iv)
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Chapter 20 - Geometric Progressions Exercise Ex. 20.2
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Chapter 20 - Geometric Progressions Exercise Ex. 20.3
Question 1(i)
Solution 1(i)
Question 1(ii)
Solution 1(ii)
Question 1(iii)
Solution 1(iii)
Question 1(iv)
Solution 1(iv)
Question 1(v)
Solution 1(v)
Question 2(i)
Solution 2(i)
Question 2(ii)
Solution 2(ii)
Question 2(iii)
Solution 2(iii)
Question 2(iv)
Solution 2(iv)
Question 2(v)
Find the sum of the geom etric series:
Solution 2(v)
Question 2(vi)
Solution 2(vi)
Question 2(vii)
1, -a, a2, - a3 , ..... to n terms (a ≠ 1)
Solution 2(vii)
Question 2(viii)
Solution 2(viii)
Question 2(ix)
Solution 2(ix)
Question 3(i)
Solution 3(i)
Question 3(ii)
Solution 3(ii)
Question 3(iii)
Solution 3(iii)
Question 4(i)
Solution 4(i)
Question 4(ii)
Solution 4(ii)
Question 4(iii)
Solution 4(iii)
Question 4(iv)
Solution 4(iv)
Question 4(v)
Solution 4(v)
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
A person has 2 parents, 4 grandparents, 8 great grand parents, and so on. Find the number his ancestors during the ten generations preceding his own.
Solution 18
Question 19
(n - 1) Sn = 1n + 2n + 3n + ....+ nn
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Chapter 20 - Geometric Progressions Exercise Ex. 20.4
Question 1(i)
Solution 1(i)
Question 1(ii)
Solution 1(ii)
Question 1(iii)
Solution 1(iii)
Question 1(iv)
Solution 1(iv)
Question 1(v)
Solution 1(v)
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8(i)
Solution 8(i)
Question 8(ii)
Solution 8(ii)
Question 8(iii)
Solution 8(iii)
Question 8(iv)
Solution 8(iv)
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Chapter 20 - Geometric Progressions Exercise Ex. 20.5
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8(I)
Solution 8(I)
Question 8(ii)
Solution 8(ii)
Question 8(iii)
Solution 8(iii)
Question 8(iv)
Solution 8(iv)
Question 8(v)
Solution 8(v)
Question 9(i)
Solution 9(i)
Question 9(ii)
Solution 9(ii)
Question 9(iii)
Solution 9(iii)
Question 10(i)
Solution 10(i)
Question 10(ii)
Solution 10(ii)
Question 10(iii)
Solution 10(iii)
Question 11(i)
Solution 11(i)
Question 11(ii)
Solution 11(ii)
Question 11(iii)
Solution 11(iii)
Question 11(iv)
Solution 11(iv)
Question 12
Solution 12
Question 13
Solution 13
Question 14
If the 4th, 10th, and 16th terms of a G.P. are x, y, and z respectively. Prove that x, y, z are in G.P.
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
If pth, qth, and rth terms of an A.P. and G.P. are both a, b, and c respectively, show that ab-c bc-a ca-b = 1.
Solution 23
Chapter 20 - Geometric Progressions Exercise Ex. 20.6
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Chapter 20 - Geometric Progressions Exercise Ex. 20VSAQ
Question 1
Solution 1
Question 2
If (p + q)th and (p - q)th terms of a G.P. are m and n respectively, then write its pth term.
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
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