Chapter 11 - Geometric Progression Exercise Ex. 11(C)

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

If for a G.P., p^th, q^th and r^th terms are a, b and c respectively; prove that:

(q - r) log a + (r - p) log b + (p - q) log c = 0

Solution 4

Question 5

If a, b and c are in G.P., prove that:

log a, log b and log c are in A.P.

Solution 5

Question 6

If each term of a G.P. is raised to the power x, show that the resulting sequence is also a G.P.

Solution 6

Question 7

If a, b and c are in A.P, a, x, b are in G.P. whereas b, y and c are also in G.P.

Show that: x², b², y² are in A.P.

Solution 7

Question 8(i)

Solution 8(i)

Question 8(ii)

Solution 8(ii)

Question 9

If a, b and c are in A.P. and also in G.P., show that: a = b = c.

Solution 9