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Anarel [89]
3 years ago
12

What is the sequence for g(1)=-29 g(n)=g(n-1)x(-4)

Mathematics
1 answer:
kupik [55]3 years ago
8 0

Answer:

g(n) = -29×(-4)ⁿ⁻¹

Step-by-step explanation:

This the recursive formula of a sequence g :

g(1)=-29

g(n)=g(n-1)x(-4)

now ,we want to deduce the standard explicit formula of that sequence

It’s clear from the recursive formula (above) that  :

_The common ratio = -4

_the first term = -29

Then

the standard explicit formula is : g(n) = -29×(-4)ⁿ⁻¹

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B7%20%7D%20%20%2B%20%20%5Cfrac%7Bx%7D%7B2%7D%20%20%3D%202%20-%20%20%5Cfrac%
uysha [10]

For this case we must solve the following equation:

\frac {5} {7} + \frac {x} {2} = 2- \frac {x} {7}

So, we have:

\frac {10 + 7x} {14} = \frac {14-x} {7}\\7 (10 + 7x) = 14 (14-x)

We apply distributive property to both sides of the equation:

70 + 49x = 196-14x

We add 14x to both sides of the equation:

70 + 49x + 14x = 196\\70 + 63x = 196

We subtract 70 to both sides of the equation:

63x = 196-70\\63x = 126\\x = \frac {126} {63}\\x = 2

So, the solution is: x = 2

Answer:

x = 2

8 0
3 years ago
I need the answer!!!
Maslowich

Answer:

The first one is 12

second one is 1

third one is 23

last one 5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
You need to split it in half then multply then add
sleet_krkn [62]

Answer:

I'm pretty sure it's 97

Step-by-step explanation:

I made three shapes 2 rectangle and 1 triangle

7 0
3 years ago
The best drink at the Smoothie Shack is the Berry Blaster. It takes 3 cups of strawberries to make 2 Berry Blasters. The Smoothi
Bess [88]

Answer:

The Smoothie Shack can make 10 Berry Blaster

Step-by-step explanation:

Hope this helps or right at least. :^

4 0
3 years ago
If 3a +5b =10 and 5a +3b =30 what is the average of a and b?
saw5 [17]

Hello, please consider the following.

3a+5b + 5a + 3b = 8(a+b)=10+30=40\\\\a+b=\dfrac{40}{8}=5

And the average is

\dfrac{a+b}{2}\boxed{=\dfrac{5}{2}}

Thank you.

6 0
3 years ago
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