If are in HP, then which of the following is/are correct?

Select the correct answer using the code given below:

The infinite series $$\frac{1}{2} + \frac{2}{2^2} + \frac{3}{2^3} + \cdots + \frac{n}{2^n} + \cdots$$is​

​if $$\sum a_n$$ be an infinite series of non-negative terms and $$\overline{lim}$$ $${a_n^{1/n}} = p$$, then $$\sum a_n$$ is convegent if​

Find three consecutive terms in an AP, whose sum and product are 48 and 3840, respectively.

Which of the following is NOT an element of the set numbers belonging to Fibonacci sequence?

What is the sum to infinity of the given geometric progression?

2, 0.2, 0.02, 0.002, ......

The infinite series $$\frac{1}{2} + \frac{2}{2^2} + \frac{3}{2^3} + \cdots + \frac{n}{2^n} + \cdots$$is​