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1 year ago

Write and expression for the senqence of operations described below.

1 answer:

3 0

Raise $6$ to the second power, $6^{2}$ , the subtract r from the result, that should be $6^{2} - r$ , since we are not to simplify the expression, that's the answer.

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In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

3 years ago

Can someone help me with this

11Alexandr11 [23.1K]

-6 + x = -7

+6 +6 add 6 to both sides, 6's cancel out on the left.

________

x = -1, is the answer.

Hope this helps! Let me know if you have any other questions related to this problem. :)

5 0

2 years ago

Read 2 more answers

Given h(x) = –2 – 3, find h(-6).

igomit [66]

Answer

Step-by-step explanation:

h(-6)=-(-6)-3

h(-6)=6-3

h(-6)=3

4 0

2 years ago

What is the slope between (-4,0) and (0,2)

djverab [1.8K]

Answer:

The Slope is 1/2

Step-by-step explanation:

Hope this helps

5 0

3 years ago

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Solve for x in the diagram below.

Neko [114]

Answer:

X = 15

Step-by-step explanation:

We can tell that the two sides that show the degrees are equal because of the arc. We can set up a simple equation:

x + 45 = 60

x = 15

6 0

2 years ago

Read 2 more answers