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sergey [27]
3 years ago
14

Several mountain climbers move up a mountain

Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer:

2 5/8

Step-by-step explanation:

:)

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The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
Write an inequality. One fourth of a number increased by 17 is at least 63
Luden [163]

Answer:

1/4x + 17 ≥ 63.

Step-by-step explanation:

'At least 63' is the same as ' greater than or equal to 63'.

So that would be 1/4x + 17 ≥ 63.

8 0
3 years ago
What is the pattern 3,3.3,3.63,3.993
Maru [420]
Each number is the number before it multiplied by 1.1
And since it is multiplied, there is a common ratio and so it is a geometric sequence.
3 x 1.1 = 3.3
3.3 x 1.1 = 3.63
And it goes on.

Hope this helps :)
6 0
3 years ago
Read 2 more answers
What is the inequility?
antiseptic1488 [7]
The inequality is e-7>1 The simplifies version of that inequality is e>8
7 0
3 years ago
-20÷5(-3)+4(-2)(-1)-4²<br>step by step please and thank you!​
disa [49]

\huge \boxed{\mathbb{QUESTION} \downarrow}

\large \tt \: -20 \div  5(-3)+4(-2)(-1)-4  ^ { 2  }

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\tt \: -20 \div  5(-3)+4(-2)(-1)-4  ^ { 2  }

Divide -20 by 5 to get -4.

\tt \: -4\left(-3\right)+4\left(-2\right)\left(-1\right)-4^{2}

Multiply -4 and -3 to get 12.

\tt \: 12+4\left(-2\right)\left(-1\right)-4^{2}

Multiply 4 and -2 to get -8.

\tt \: 12-8\left(-1\right)-4^{2}

Multiply -8 and -1 to get 8.

\tt \: 12+8-4^{2}

Add 12 and 8 to get 20.

\tt \: 20-4^{2}

Calculate 4 to the power of 2 and get 16.

\tt \: 20-16

Subtract 16 from 20 to get 4.

=  \boxed{\boxed{ \bf 4}}

5 0
3 years ago
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