Question

find the sum pf the series 5 + 15/4 + 45/16 +......​

Answer 1

Answer:

$13\frac{43}{64}$

Step-by-step explanation:

We can see the numerator is being multiplied by 3 and the denominator is being multiplied by 4.

$\frac{45*3}{16*4} =\frac{135}{64}$

Then we will add them,

$5 + \frac{15}{4}+\frac{45}{16} +\frac{135}{64} becomes \frac{320}{64} +\frac{240}{64} +\frac{180}{64} +\frac{135}{64}=\frac{875}{64} =13\frac{43}{64}$

You can also use formulas to solve this as well, but this way should work too as there are not very many terms :)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather