# What is the sum of the first five terms of

What is the sum of the first five terms of the following geometric sequences.
1) h 1h 2t…
2) 3 12 ht…
3) 100 50 25…
4) 1 t 3t…
5) 5h 1t t…​

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3) 100, 50, 25, .....
$$\displaystyle{r}={\frac{{{50}}}{{{100}}}}={\frac{{{1}}}{{{2}}}}$$
Sum of GP $$\displaystyle={a}{\left({\frac{{{1}−{r}^{{{n}}}}}{{{1}−{r}}}}\right)}$$
$$\displaystyle={100}{\left({\frac{{{1}−{0.5}^{{{5}}}}}{{{1}−{0.5}}}}\right)}$$
$$\displaystyle={193.75}$$
Now, follow same process for the other sequences.