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Kazeer [188]
3 years ago
15

Find an explicit rule for the nth term of the sequence. 2, -8, 32, -128, ...

Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0
A1=2
a2=-8
a3=32
a4=-128

a2/a1=(-8)/2→a2/a1=-4
a3/a2=32/(-8)→a3/a2=-4
a4/a3=(-128)/32→a4/a3=-4

a2/a1=a3/a2=a4/a3=r=-4

an=a1*r^(n-1)
an=2*(-4)^(n-1)

The explicit rule for the nth term of the given sequence is an=2*(-4)^(n-1) 
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1/8 divided by 3/4 please help
dlinn [17]
1/8 divided by 3/4 is (1/8) / (3/4). When you divide fractions, you flip the 2nd number and change the divide into multiply. So (1/8)*(4/3). Multiply top by top and bottom by bottom to get 4/24. That simplifies to 1/6
6 0
3 years ago
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5. What is the<br> complement of the<br> supplement of a 110° <br> angle?
Slav-nsk [51]
<h2>Answer:   20°</h2>

<h3>Step-by-step explanation:</h3>

Supplementary angles sum up to 180 °

Complementary angles sum up to 90°.

The supplement of 110° = 180° - 110° = 70°

The complement of 70° = 90° - 70° = 20°

<u>Simplier version:</u>

The complement of the supplement of 110° = (90° - (180° - 110°))

                                                                         = 20°

3 0
3 years ago
3 over 4 open parentheses 1 half x space minus space 12 close parentheses space plus space 4 over 5
lesantik [10]

For this case we have the following expression:

\frac {3} {4} (\frac {1} {2} x-12) + \frac {4} {5}

Rewriting the expression we have:

We apply distributive property to the terms of parentheses:

\frac {3} {8} x- \frac {36} {4} + \frac {4} {5}\\\frac {3} {8} x-9 + \frac {4} {5}\\\frac {3} {8} x- \frac {41} {5}\\

Answer:

\frac {3} {8} x- \frac {41} {5}

4 0
3 years ago
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faltersainse [42]

Answer:

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Step-by-step explanation:

2, 2×3=6, 6x3=18,18 x3 =54, 54x3= 162

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4 0
2 years ago
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dedylja [7]
Answer 10x
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7 0
3 years ago
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