Question

find common ratio of GP
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Answer 1

Answer: (c) -2√2

Explanation:

a1=1/√2,a2=-2 and a3=8/√2

a2/a1=-2÷1/√2=-2×√2=-2√2

a3/a2=8/√2÷(-2)=8/√2×1/-2

$= \frac{ - 4}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ = \frac{ - 4 \sqrt{2} }{2} \\ = - 2 \sqrt{2}$

r => a2/a1=a3/a2

Remember:

r => common ratio

a1 => first term

a2 => second term

a3 => third term

an-1 => the term before the nth term

an => the nth term

r => a2/a1=a3/a2.........=an/an-1