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nata0808 [166]
3 years ago
13

ANSWER NEEDED ???????

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0
The correct answer is -2
Can you mark me as brainliest?
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Geometric Series assistance
Levart [38]

we have been asked to find the sum of the series

\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}

As we know that a geometric series has a constant ratio "r" and it is defined as

r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}

The first term of the series is a_1=\left(\frac{1}{3}\right)^{1-1}=1

Geometric series sum formula is

S_n=a_1\frac{1-r^n}{1-r}

Plugin the values we get

S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}

On simplification we get

S_5=\frac{121}{81}

Hence the sum of the given series is \frac{121}{81}

5 0
3 years ago
4x10^5 scientific notation
dmitriy555 [2]
This is already written in scientific notation, but if you are asking what the answer would be written out it is: 400000
8 0
3 years ago
Find the area of the shaded region .
klasskru [66]
Area of the shaded region=area of the greater rectangle- area of the inner rectangle.

Area of a rectangle=length x width.

Area of the greater rectangle=(8x-1)(6x)
area of the inner rectangle=(5x+3)(2x)

Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
=48x²-6x-(10x²+6x)
=48x²-6x-10x²-6x
=38x²-12x

Answer: the area of the shaded region would be: 38x²-12x
8 0
4 years ago
100 points help with recursive function!
Allushta [10]

Answer:

a. 20.25

Step-by-step explanation:

6 0
2 years ago
yo i need help with this question please and thank u i need the correct answer to please i will give u a brainliest as well
Simora [160]
V = πr ^2 h
V = π (3)^2 (5)
V = π (9) (5)
V = π 45
V = 141.3 in
141.3 divided by 8 = 17.7
8 0
3 years ago
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