Question

For the following G.P.s, find Sn
2, 6, 18, 54, ....​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The sum will be infinite

Step-by-step explanation:

In the given Question,

Let the first term of the G.P be a

Let the common ratio of the G.P be r

Now we know that,

Sum of the first n terms of the G.P is given by$=\frac{a(r^{n}-1)}{r-1}$

However,

Sum of infinite terms of the G.P when 0<r<1 is given by $=\frac{a}{1-r}$

So,

Here, In the question given part  a=2 and r=3

So, The Sum of infinite terms of G.P when (common ratio)r>1 is equal to ∞(infinite).