What does the series 1 - 3-12 - 3 - 13 -3 - - represent-

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

Sum of Coefficients of All Terms

What does the...

Question

What does the series $1 + 3^{\frac{- 1}{2}} + 3 + \frac{1}{3 \sqrt{3}} + . . . .$ represent?

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

None of the above series

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

Open in App

Solution

The correct option is D None of the above series
The series is neither A.P as it's term cannot be represented as $a + (n - 1) d$ , nor a G.P as it's terms cannot be represented as $a r^{n - 1}$ , and also not a H.P because if three terms a,b,c are in H.P then $b = \frac{2 a c}{a + c}$ , here it is not the the case.
(d)

Suggest Corrections

Similar questions

Q. Find the sum of the series

\frac{1^{3}}{1} + \frac{1^{3} + 2^{3}}{1 + 3} + \frac{1^{3} + 2^{3} + 3^{3}}{1 + 3 + 5} + . . . . . . . . . + n

Find the sum of the series $\frac{1^{3}}{1} + \frac{1^{3} + 2^{3}}{1 + 3} + \frac{1^{3} + 2^{3} + 3^{3}}{1 + 3 + 5} + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 12 t e r m s$

Q. Sum to n terms of the series

\frac{1^{3}}{1} + \frac{1^{3} + 2^{3}}{1 + 3} + \frac{1^{3} + 2^{3} + 3^{3}}{1 + 3 + 5} + . . . . .

Q. The sum of first 9 terms of the series.

\frac{1^{3}}{1} + \frac{1^{3} + 2^{3}}{1 + 3} + \frac{1^{3} + 2^{3} + 3^{3}}{1 + 3 + 5} + . . .

Q. Sum up to

16

terms of the series

\frac{1^{3}}{1} + \frac{1^{3} + 2^{3}}{1 + 2} + \frac{1^{3} + 2^{3} + 3^{3}}{1 + 2 + 3} + \dots \dots

Join BYJU'S Learning Program

What does the series 1+3−12+3+13√3+.... represent?

The correct option is D None of the above seriesThe series is neither A.P as it's term cannot be represented as a+(n−1)d, nor a G.P as it's terms cannot be represented as arn−1, and also not a H.P because if three terms a,b,c are in H.P then b=2aca+c , here it is not the the case.(d)

What does the series $1 + 3^{\frac{- 1}{2}} + 3 + \frac{1}{3 \sqrt{3}} + . . . .$ represent?