7. Major Dhyan Chand
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Answers
Answer:
Major Dhyan Chand (29 August 1905 – 3 December 1979) was an Indian field hockey player widely regarded as the greatest in the history of the sport.[4] He was known for his extraordinary goal-scoring feats, in addition to earning three Olympic gold medals, in 1928, 1932 and 1936, during an era where India dominated field hockey. His influence extended beyond these victories, as India won the field hockey event in seven out of eight Olympics from 1928 to 1964.
Explanation:
Let a1 , a2 , a3 , a4 , a5 be 5 gepmetric means between a = 576 and b = 9
So, the sequence a, a1 , a2 , a3 , a4 , a5 , b is in GP
Now, common ratio r = (b/a)1/(n + 1)
=> r = (9/576)1/(5 + 1)
=> r = (1/64)1/6
=> r = (1/26 )1/6
=> r = 1/2
Now, a1 = ar = 576 * (1/2) = 576/2 = 288
a2 = ar2 = 576 * (1/2)2 = 576/4 = 144
a3 = ar3 = 576 * (1/2)3 = 576/8 = 72
a4 = ar4 = 576 * (1/2)4 = 576/16 = 36
a5 = ar5 = 576 * (1/2)5 = 576/32 = 18
So, 288, 144, 72, 36, 18 are the 5 geometric means inserted between 576 and 9