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Dimas [21]
3 years ago
13

Write the sum using summation notation, assuming the suggested pattern continues. 2 - 8 + 32 - 128 + ...

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0
This is a geometric series with first term 2 and common ratio -4. The general term of such a series (an) in terms of the first term (a1) and common rato (r) is written as
  an = a1*r^(n-1)

The sum is the sum of such terms.
sum=\sum\limits_{n=1}^{\infty}{2(-4)^{(n-1)}}
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25 as a percent compared to 30
BabaBlast [244]
7.5 i think not 100% sure tho
6 0
3 years ago
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GOT ANOTHER QUESTION... WILL MAKE BRAINLIEST
Oksi-84 [34.3K]

Answer:

s= -1

Step-by-step explanation:

7= -10s-3

+3        +3

10=-10s

s= -1

4 0
3 years ago
Find the amount in a continuously compiunded account for the following condition. Principal, $4000; Annual interest rate, 5.1%;
Ket [755]
A = P*e^(rt)

Here,

A = $4000*e^(0.051*2) = $4000*e^1.02 = $4000(2.773) = $11092.78 

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7 0
3 years ago
Further mathematics: Find the derivative of the function x^2 y + (xy)^3 +3x=0 at (-1 , 3)​
vesna_86 [32]

Answer:

3.

Step-by-step explanation:

Implicit differentiation:

x^2 y + (xy)^3 + 3x = 0

x^2 y + x^3y^3 + 3x = 0

Using the product rule:

2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0

2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0

dy/dx(x^2 + 3y^2x^3) =  (-2xy - 3x^2y^3 - 3)

dy/dx=  (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)

At the point (-1, 3).

the derivative =  (6 - 81 - 3)/(1 -27)

= -78/-26

=  3.

8 0
2 years ago
Read 2 more answers
What is 3 5/7 divided by 2
satela [25.4K]

Use copy dot flip to solve.

= 3 5/7 / 2/1

= 26/7 * 1/2 (Turned into improper fraction)

= 26/14 (Improper Fraction Answer)

= 1 12/14 (Mixed Number Answer Simplified)

= 1 6/7 (Final Answer Simplified)

Hope This Helped! Good Luck!

7 0
3 years ago
Read 2 more answers
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