Question
Check whether the following numbers are in continued proportion : 3, 5, 8
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Answer
If $a , b , c$ are in continued proportion then $b ^2= ac$.
$3,5,8$
Let, $a =3, b=5$ and $c =8$
Here, $b^2=5^2=25$
$a c=3 \times 8=24$
$\therefore b^2 \neq a c$
$\therefore 3,5,8$ are not in continued proportion.
$3,5,8$
Let, $a =3, b=5$ and $c =8$
Here, $b^2=5^2=25$
$a c=3 \times 8=24$
$\therefore b^2 \neq a c$
$\therefore 3,5,8$ are not in continued proportion.
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