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Leokris [45]
3 years ago
10

PLEASE HELP

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

Answer:

In pictures

Step-by-step explanation:

By the way, question 2 is same as question 1

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How would I write this as a geometric recursive and explicit formula? Algebra 2
Kisachek [45]
Denote the sequence by a_n with n\ge1.

Recursively:

The first number is a_1=8, and each successive number is twice the previous one. So a_2=16, a_3=32, a_4=64, ... .

In other words,

a_2=2a_1
a_3=2a_2
a_4=2a_3

and so in general,

a_n=2a_{n-1}

Explicitly:

We can arrive at this formula by, in a way, working backwards. If a_n=2a_{n-1}, that means a_{n-1}=2a_{n-2}, and so a_n=2(2a_{n-2})=2^2a_{n-2}, and so on. We would end up with

a_n=2a_{n-1}=2^2a_{n-2}=2^3a_{n-3}=\cdots=2^{n-2}a_2=2^{n-1}a_1

(You'll notice a pattern here: the exponent of the 2 and the index of the earlier term in the sequence add up to n. For example, 2^1a_{n-1}\implies 1+(n-1)=n.)

or simply

a_n=2^{n-1}\cdot8

Then the 15th term is obtained immediately by evaluating this rule at n=15. We get

a_{15}=2^{15-1}\cdot8=2^{14}\cdot2^3=2^{17}=131,072
5 0
3 years ago
How do you find the value of n in a geometric progression?​
Bas_tet [7]

A geometric progression is also known as a geometric sequence.

Here is a video explaining how you find the n term value.

https://youtu.be/pwUdYEwT9kY

Hope this helps!

6 0
3 years ago
If the farmer has 116 feet of fencing, what are the dimensions of the region with the largest area?
Savatey [412]
Yes ye yuh na Lyin bru u cappin
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3 years ago
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Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he us
maxonik [38]
D=√((7-1)^2+(4-3)^2)=√37
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2 years ago
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What is the shortest board a man must buy in order to cut 3 sections from it, each 4 feet 8 inches long?
kakasveta [241]

Convert the mixed number to inches. 3 feet 8 inches = 44 inches (12 inches per foot x 3 feet= 36 inches + 8 inches= 44 inches). 44 inches (length each section needs to be) x 4 (number of sections needed)=176 inches (total molding needed). To determine the amount of molding needed in feet, convert 176 inches into feet by dividing 176 inches by 12 inches. You get 14 2/3 feet, so the shortest board length is 15 feet.

7 0
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