Find the 2 missing Term of the Geometric Sequence: 3√5,_,_,75 ?

Please Use the ratio Formula r=(n-k)^√an/ak

1 Answer
Jim G.
Jul 29, 2018

#15,15sqrt5#

Explanation:

#"using the n th term formula for a geometric sequence"#

#•color(white)(x)a_n=ar^(n-1)#

#"where a is the first term and r the common ratio"#

#"here "a=3sqrt5" and "a_4=75#

#a_4=(3sqrt5)r^3=75#

#r^3=75/(3sqrt5)=25/sqrt5=(25sqrt5)/5=5sqrt5#

#r=root(3)(sqrt5xxsqrt5xxsqrt5)=sqrt5#

#a_2=3sqrt5xxsqrt5=15#

#a_3=15xxsqrt5=15sqrt5#

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