Select the correct answer from the alternatives given against each of the following (1 - 2):
1. (3-2)-3 is equal to
(A) 243
(B)1/243
(C) 729
(D)1/729
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Answer:. Show that each one of the following progressions is a G.P. Also, find the common ratio in each case:
(i) 4, -2, 1, -1/2, ….
(ii) -2/3, -6, -54, ….
(iii) a, 3a2/4, 9a3/16, ….
(iv) ½, 1/3, 2/9, 4/27, …
Solution:
(i) 4, -2, 1, -1/2, ….
Let a = 4, b = -2, c = 1
In GP,
b2 = ac
(-2)2 = 4(1)
4 = 4
Step-by-step explanation:
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