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MrRa [10]
3 years ago
5

What is the positive solution of 3x2 -10x =0

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0

The answer should be:

x=0, 10/3

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Read 2 more answers
The first 4 terms of a 10-term geometric series are listed below. Which expression represents the sum
Stella [2.4K]

Given:

First 10 term of a geometric series are:

\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10

To find:

The expression that  represents the sum of the series.

Solution:

The first term of the given geometric series is:

a_1=\dfrac{16}{25}

The common ratio of the given geometric series is:

r=\dfrac{a_2}{a_1}

r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}

r=\dfrac{8}{5}\times \dfrac{25}{16}

r=\dfrac{5}{2}

The sum of first n terms of a geometric sequence is:

S_n=\dfrac{a_1(1-r^n}{1-r}

Where r is the common ratio.

Putting a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10 in the above formula, we get

S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)

Therefore, the correct option is C, i.e., \dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right).

5 0
3 years ago
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