devarshi-dt-logo

Question:

Let a1, a2, ..., a10 be a G.P. If a3/a1 = 25, then a9/a5 equals:

54

4(52)

53

2(52)

Solution:

The correct option is C54a1,a2,...,a10are in G.P., Let the common ratio bera3a1=25⇒a1r2a1=25⇒r2=25a9a5=a1r8a1r4=r4=54