GP - sequence

The first three terms of a geometric sequence are as follows 10, 30, 90. Find the next two terms of this sequence.

Correct answer:

a4 =  270
a5 =  810
a6 =  2430

Step-by-step explanation:

a1=10 a2=30 a3=90  a(n+1)=q a(n)  q1=a2/a1=30/10=3 q2=a3/a2=90/30=3  q1=q2 q=q1=3  a4=q a3=3 90=270
a5=q a4=3 270=810
a6=q a5=3 810=2430

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