Question
How many terms are there in the geometric progression 4,
20, 100...... 62500?Solution
First term (a) = 4  common differences (r) = 20/ 4=5 T = 62500 Tn = arn-1 62500=4× (5)n-1 625×25 = (5)n-1 56 = (5)n-1 n-1=6 n=7 Hence the number of terms (n) = 7
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