veksetz

2022-01-06

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…​

turtletalk75

Expert

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

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