How do you write the first five terms of the geometric sequence $a_1=3, r=sqrt5$ ?

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Answer 1 · 2017-09-04T19:19:56

${3,3sqrt5,15,15sqrt5,75}$

a GP is generated by multiplying the previous term by the common ration.

Starting with the first term given.

$a_1=3$

$a_2=3xxsqrt5=3sqrt5$

$a_3=3sqrt5xxsqrt5=3xx5=15$

$a_4=15xxsqrt5=15sqrt5$

$a_5=15sqrt5xxsqrt5=15xx5=75$

How do you write the first five terms of the geometric sequence a_1=3, r=sqrt5a_1=3, r=sqrt5?