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)((1)/(2))^(0-1) \\ T_0=100*((1)/(2))^(-1) \\ T_0=100*2 \\ T_0=200 \end{gathered}`

So the oth term of given GP is 200.