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SashulF [63]
1 year ago
5

PLEASE HELPPPPP WILL GIVE BRAINLIEST

Mathematics
1 answer:
FinnZ [79.3K]1 year ago
6 0

Answer:

the value of the variable x is 16

Step-by-step explanation:

given \: expression \\  \frac{5}{8}x =  \frac{1}{2} x + 2 \\ substract \: \frac{1}{2} x from \: both \: sides \\ \frac{5}{8}x  - \frac{1}{2} x = \frac{1}{2} x  - \frac{1}{2} x  + 2 - \frac{1}{2} x  \\ factor \: out \: common \: x \\ x( \frac{5}{8}  -  \frac{1}{2} ) =  \frac{1}{8}  \\ simplify \\ \frac{1}{2} x  + 2 - \frac{1}{2} x \:  \frac{1}{2} x -  \frac{1}{2} x = 0 = 2 \\  \frac{1}{8} x = 2 \\ multiply \: both \: sides \: by \: 8 \\ 8. \frac{1}{8} x = 2.8 \\ simplify \\ x = 16.

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By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

<h3>What is sequence ?</h3>

Sequence is collection of  numbers with some pattern .

Given sequence

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\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

To learn more about Geometric progression visit : brainly.com/question/14320920

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