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PilotLPTM [1.2K]
2 years ago
8

Help plzzzz ill give extra points

Mathematics
2 answers:
Artyom0805 [142]2 years ago
7 0
<h3>Solution :-</h3>

Total equation ,

\displaystyle\sf\to 4x+\boxed{\sf 12}x=\boxed{\sf 320}

\displaystyle\sf\to \boxed{\sf 16}x=\boxed{\sf 320}

\displaystyle\sf\to x =\boxed{\sf 20}

lbvjy [14]2 years ago
3 0

Answer:

12x

16x, 320

20

Step-by-step explanation:

Hope this helps

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Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

  • Putting 1 in n, \frac{1}{2}(1)-\frac{1}{2}=0
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We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

s_{n}=\frac{n}{2}(2a+(n-1)d)

Where,

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  • n is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
  • d is the common difference (difference in term and the previous term) (in our case it is 0.5)

Substituting these into the formula, we get the 10th partial sum to be:

s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5

So the sum of the first 10 terms is 22.5. Third answer choice is right.


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