Verified Answer :

daniellefoster

540 is the answer because the doubled the first number to get the second number and multiplyed that by 3 to get the third number

calculista

Let

\(a1=5 \\ a2=10\\ a3=30\\ a4=60\\ a5=180\)

we know that

\(\frac{a2}{a1} = (10/5)=2 \\ a2= a1*2\)

\(\frac{a3}{a2} = (30/10)=3 \\ a3= a2*3\)

\(\frac{a4}{a3} = (60/30)=2 \\ a4= a3*2\)

\(\frac{a5}{a4} = (180/60)=3 \\ a5= a4*3\)

The pattern is times two then times three then times two then times three

so

the sixth term will be

\(a6=a5*2\)

\(a6=180*2=360\)

therefore

the answer is

\(360\)

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