the second term of a GP is 25/4 and the 8th term is 16/625 find GP - Maths - Sequences and Series

Question

the second term of a GP is 25/4 and the 8th term is 16/625 find GP

Manbar Singh · Accepted Answer

Dear Student,

Please find below the solution to the asked query :

Let a be the first term and r be the common ratio
Now, ar = 254      
1and  ar7 = 16625    
2Dividing 2 by 1, we getr6 = 6415625⇒r = 25Now, from 1, we geta × 25 = 254⇒a = 1258Now, the required GP is :a, ar, ar2, 
1258, 254, 52,

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the second term of a GP is 25/4 and the 8th term is 16/625.find GP