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Rzqust [24]
3 years ago
11

Find the 11th term of this sequence -2, 10, -50

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

<em><u>Formula</u></em>

The general term we will use is

t = a r^(n - 1)

<em><u>Givens</u></em>

a = - 2

r = - 5

n = 11

t_n = a*r^(n - 1)

t_n = -2*(-5)^(11 - 1)

t_11 = -2*(-5)^10

t_11 = -2 (9,765,625)

t_11 = 19,531,250

<em><u>Note</u></em>

Before accepting this answer, you should check to see that the formula works with a value you know the answer to.

t_3 = -2(-5)^(3-1)

t_3 = -2(-5)^2

t_3 = -2 * 25

t_3 = - 50

Which is what your series shows.

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What is the explicit formula for this sequence?
Zarrin [17]

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

a(n) = a ({r})^{n - 1}

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

a(n) = 5( {2})^{n - 1}

Hope this helps you

8 0
3 years ago
Identify the sequence as arithmetic, geometric, or neither. Explain your work.
Gnesinka [82]
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4 0
3 years ago
56 ounces = _______ cups<br> 8 cups<br> 448 cups<br> 10 cups<br> 7 cups
GarryVolchara [31]

Answer:

<em>56 ounces </em>= <em>7 cups.</em>

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Someone please help me I’m actually struggling so much rn.
alexandr1967 [171]

Answer:

Step-by-step explanation:

okay don't feel bad, you actually got it right, let me help you with some holes!

You calculate slope by the rise over run. These people are confusing you a bit - do problem 2 then 1

the vertical change is -1 horizontal change is 3 so by rise/run=-1/3

-1/3 is the slope

for the second problem this is confusing but just read and try to analyze

vertical change/horizontal change = 5-4/0-3= 1/-3(or -1/3)

The y intercept is the point where the line hits the y axis, so at point (0, 5)

The function is y=mx+b

m is the slope

b is the y intercept

so y=-1/3x+5

7 0
3 years ago
Let fx) = 8x - 3<br> What is f(5)?
mihalych1998 [28]

f(5) means to replace the x in the equation with 5.

f(5) = 8(5) - 3

f(5) = 40 - 3

f(5) = 37

7 0
3 years ago
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