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yulyashka [42]
3 years ago
6

Which formula can be used to find the nth term of a geometric sequence where the fifth term isn1/16 and the common ratio is 1/4?

Mathematics
1 answer:
kati45 [8]3 years ago
7 0

1/16=a(1/4)^(5-1)

1/16=a(1/4)^4

1/16=a/256

256/16=a

16=a

So the initial term is 16 so our formula is:

a(n)=16(1/4)^(n-1)

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1,-2,3,-4,5... <br><br> what’s the next two numbers in the pattern?
MrMuchimi

Answer:

The two numbers following 1,-2,3,-4,5...  are -6 and 7.

Step-by-step explanation:

index:   1   2   3   4   5 ....

value:    1  -2  3  -4   5

Let the index be n.  Then the first term is a(1), the secon is a(2), and so on.

a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)

a(3) = 3*(-1)^(3-1)   =  3*(-1)^2 = 3 (correct)

a(4) = 4*(-1)^(4-1)    = 4*(-1)^3 = -4 (correct)

So the general formula for a(n)  is:    a(n)=n(-1)^(n-1)

Thus,

a(5) = 5(-1)^4 = 5

a(6) = 6(-1)^5 = -6

a(7) = 7(-1)^6 = 7

The "next two numbers in the pattern" are -6 and 7.  The first 7 numbers are

1,-2,3,-4,5, -6, 7

4 0
3 years ago
Looking for some on this problem
adelina 88 [10]
The correct answer is D
8 0
2 years ago
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Suppose
Yakvenalex [24]

Answer:-80

Step-by-step explanation:f(x)=2*2+4*-10

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3 years ago
What is the anwser to 5/10 - (-8/10)? I really need to know if this fraction would be a negitive?
balandron [24]
<u><em /></u>Subtracting a negative number really means to add it

Here's addition:
(1) + (1) = 2
(1) + (-1) = 0
(-1) + (-1) = -2
(-1) + (1) = 0

Here's subtraction:
(1) - (1) = (1) + (-1) =0
(1) - (-1) = (1) + (1) = 2
(-1) - (-1) = (-1) + (1) = 0
(-1) - (1) = (-1) + (-1) = -2


Here's your problem specifically:

(5/10) - (-8/10)

(5/10) + (8/10)

*since they have the same denominator, that stays the same, and you only have to add up numerators

(5 + 8)/10

13/10

<u><em>answer is 13/10 . . . it's positive</em></u>

7 0
3 years ago
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Which expression is equivalent to 3(8j)?
vladimir1956 [14]

are there any answer choices?

Step-by-step explanation:

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3 years ago
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