What is the sum of the first five terms of

veksetz 2022-01-06 Answered
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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Expert Answer

turtletalk75
Answered 2022-01-07 Author has 566 answers
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.
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