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statuscvo [17]
3 years ago
14

Write an equation to describe the sequence below. Use n to represent the position of a term in the sequence,where n = 1 for the

first term.
5, -3 , 9/5 , ...

Write your answer using proper fractions, improper fractions, and integers.

an = ( )^{n-1}n - 1
Mathematics
1 answer:
VMariaS [17]3 years ago
6 0

ANSWER

The required equation is:

a_n=5(  - \frac{3}{5} )^{n-1}

EXPLANATION

The given sequence is

5, -3 ,  \frac{9}{5}

The first term of the sequence is ;

a_1=5

The common ratio is the subsequent term previous term of any two consecutive terms. This implies that;

r =  \frac{ - 3}{5}

The nth term of the sequence is

a_n=a_1(r)^{n-1}

We substitute the terms to obtain;

a_n=5(  - \frac{3}{5} )^{n-1}

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What is one half added to three quarters
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8 0
3 years ago
Which equation are equivalent to 1/5+2/3|2-x|=4/15?
disa [49]

Answer:

• 2/3|2 -x| = 1/15

• |2 -x| = 1/10

• 1/5 +|4/3 -2/3x| = 4/15

Step-by-step explanation:

Starting with the given equation, subtract 1/5 = 3/15.

(2/3)|2 -x| = 4/15 - 3/15

(2/3)|2 -x| = 1/15 . . . . . . . . matches the first choice

Now, multiply by 3/2.

|2 -x| = 3/30

|2 -x| = 1/10 . . . . . . . . . . . . matches the third choice

___

If you decide to distribute the coefficient 2/3 instead, you have

1/5 + |2·2/3 -x·2/3| = 4/15

1/5 + |4/3 -2/3x| = 4/15 . . . . matches the selected choice

5 0
3 years ago
Read 2 more answers
I need help understanding how to solve this problem.
LUCKY_DIMON [66]

Answer:

  • <u><em>D. (-5/13, -12/13)</em></u>

Explanation:

It is indicated to <em>find the coordinates</em> of the <em>point T (5/13, 12/13) </em>at a distance <em>π + x.</em>

  • π is an arc of half a circle, i.e. 180º.

Then, the distance π+ x means that the <em>point T</em> is rotated 180º.

The rule for the rotation of a point 180º around the origin is:

  • (x, y) → (-x, - y)

Applying that rule to the point T:

  • (5/13, 12/13) → (-5/13, - 12/13) ← answer
6 0
3 years ago
Read 2 more answers
Can anyone help me pls ( if you can, can you do it on paper and post it with the answer)
Alla [95]

Answer:

x = 6

Step-by-step explanation:

44 + 3x = 5x + 2x + 20 transfer like terms to the same side of the equation with the opposite sign:

44 - 20 = 5x + 2x - 3x add/subtract like terms

24 = 4x divide both side by 4

6 = x

8 0
2 years ago
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