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Pavlova-9 [17]
2 years ago
5

A hiker in Colorado reaches an elevation of 13,875 feet above sea level. A scuba diver in Hawaii swims at a depth of 25 feet bel

ow sea level. What number best represents the scuba diver's position in the water?
Group of answer choices

13,875

25

-25

-13,875
Mathematics
2 answers:
Sav [38]2 years ago
7 0

Answer:

-25

Step-by-step explanation:

I hike so i have to know this.

icang [17]2 years ago
6 0
-25 ....................
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Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7​
motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

\displaystyle x_{n} = a\left(r\right)^{n-1}

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.

Substitute:

\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}

In conclusion, the 8th term of the sequence is 896/2187.

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