Question

Find G.M of the numbers, 3,-,-,24​

Answer 1

Answer:

Here,

• a → 3
• ar³ → 24
• n → 4
• ar → ?
• ar² →?

To find :

• G.M. of the given sequence .

Now ,

$\bold{a {r}^{3} = 24 }$

$\implies \: 3 \times {r}^{3} = 24$

$\implies \: {r}^{3} = 8$

$\implies \:{r}^{3} = {2}^{3}$

$\implies \: \underline\bold{ {r} = 2}$

So,

• ar = 3 × 2 = 6
• ar² = 3 × 2² = 12

Now,

$\large \underline \bold{G.M. } \rightarrow$

$\bold{ \sqrt[n]{a \times a {r} \times a {r}^{2} \times a {r}^{3} } }$

$= \sqrt[4]{3 \times 6 \times 12 \times 24}$

$= \sqrt[4]{5184}$

$\: \: \large \boxed{\bold{≈ \: 8.47}}$