Question

Any help finding the 0th term? I have a guess but want to know if its correct.

Answer 1

Given series is:

100,50,25....

so the first term is a=100

and the common ration is: r=1/2

So the nth term of GP is calculated as:

$T_n=ar^{n-1}$

So for 0th term:

$\begin{gathered} T_0=(100)(\frac{1}{2})^{0-1} \\ T_0=100\times(\frac{1}{2})^{-1} \\ T_0=100\times2 \\ T_0=200 \end{gathered}$

So the oth term of given GP is 200.