Find the sum of 0-3-0-5-0-33-0-55-0-333-0-555- to 15 terms-

The correct option is B 9Each dfraction can be simplified to 35 by dividing by their highest common factor. #160;So, expression is simplified to 3 ...

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

Byju's Answer

Standard XII

Mathematics

Sum of n Terms

Find the sum ...

Question

Find the sum of $\frac{0.3}{0.5} + \frac{0.33}{0.55} + \frac{0.333}{0.555} + \dots \dots$ to 15 terms.

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

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

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

Open in App

Solution

The correct option is B 9
Each dfraction can be simplified to $\frac{3}{5}$ by dividing by their highest common factor.

So, expression is simplified to $\frac{3}{5} + \frac{3}{5} + \frac{3}{5} + - - - 15$ terms.
$= \frac{3}{5} \times 15 = 9$

Suggest Corrections

Similar questions

Find the sum of n terms of the series 0.3 + 0.33 + 0.333 + . . . .

Q. Find the sum of

n

terms of the series.

0.5 + 0.55 + 0.555 + . . . . n

terms.

Q. Find the sum of first n terms of the series.

0.5 + 0.55 + 0.555 + . . . .

Find the sum of the following series to n terms :-

0.5+0.55+0.555+.........

Using simplest method

Q. What is the sum of the series

0.5 + 0.55 + 0.555 + . . . .

n

terms?

Join BYJU'S Learning Program

Find the sum of 0.30.5+0.330.55+0.3330.555+⋯⋯ to 15 terms.

The correct option is B 9Each dfraction can be simplified to 35 by dividing by their highest common factor. So, expression is simplified to 35+35+35+−−−15 terms. =35×15=9

Find the sum of $\frac{0.3}{0.5} + \frac{0.33}{0.55} + \frac{0.333}{0.555} + \dots \dots$ to 15 terms.

The correct option is B 9
Each dfraction can be simplified to $\frac{3}{5}$ by dividing by their highest common factor.

So, expression is simplified to $\frac{3}{5} + \frac{3}{5} + \frac{3}{5} + - - - 15$ terms.
$= \frac{3}{5} \times 15 = 9$