Question
Check whether the following numbers are in continued proportion: $1,2,3$
✓
Answer
If $a, b, c$ are in continued proportion then $b^2=a c$.
$1,2,3$
Let, $a =1, b=2$ and $c =3$
Here, $b^2=2^2=4$
$ac =1 \times 3=3$
$\therefore b ^2 \neq ac$
$\therefore 1,2,3$ are not in continued proportion.
$1,2,3$
Let, $a =1, b=2$ and $c =3$
Here, $b^2=2^2=4$
$ac =1 \times 3=3$
$\therefore b ^2 \neq ac$
$\therefore 1,2,3$ are not in continued proportion.
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