MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Sum of n Terms

If 8 G.M.'s...

Question

If $8$ G.M.'s are inserted between $2$ and $3$ then the product of the $8$ G.M.'s is

A

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

36

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

216

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

1296

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $1296$
$2, G_{1}, G_{2}, . . . . G_{8}, 3 - G . P$ $G_{i}$ are $G . M$

$G_{1}, G_{8} = G_{2} G_{7} = G_{3} G_{6} = G_{4} G_{5} = 2 \times 3 = 6$

$G_{1} G_{2} G_{3} G_{4} G_{5} G_{6} G_{7} G_{8} = 6 \times 6 \times 6 \times 6$

$= 1296$

$d$ is correct

Suggest Corrections

thumbs-up

1

Similar questions

G . M .^{'} s

are inserted between

486

\frac{2}{3}

G . M

Q. Insert four G.M.'s between

2

486

.

5 G . M s

1 / 3

9

and verify that their product is the

5 t h

G . M .

1 / 3

9

m

arithmetic means

(A . M s)

and three geometric means

(G . M s)

are inserted between

3

243

4^{t h}

A . M .

2^{n d}

G . M .

m

Q. 4 G.Ms are inserted between 2 and 486, then the common ratio of the resulting G.P is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Arithmetic Progression - Sum of n Terms

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon