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Determine the fourth term of the geometric progression, the sum of whose first term and third term is 50 and the sum of the second term and fourth term is 150. (a) 120 (b) 125 (c) 135 (d) 45 |
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Answer» Correct option (c) 135 Explanation: From the facts given in the question it is self evident that the common ratio of the GP must be 3 (as the sum of the 2nd and 4th term is thrice the sum of the first and third term). a + ar2 = 50 or a = 50/(1 + 9) = 5 Largest term = 5.(3)3 = 135. |
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