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sleet_krkn [62]
3 years ago
13

Find an equation for the nth term in the following sequence: 2, 8, 32, 128, 512...

Mathematics
2 answers:
seraphim [82]3 years ago
8 0

Answer:

a_n = 2(4) ^{n-1}

Step-by-step explanation:

The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term \frac{a_{n + 1}}{a_n} and check that \frac{a_{n + 1}}{a_n}=4

Then the formula that represents this sequence is:

a_n = a_1(r)^{n-1}

Where a_1 is the first term of the series = 2 and r is the radius of convergence = 4.

Then the equation is:

a_n = 2(4) ^{n-1}

vlabodo [156]3 years ago
7 0

Answer:

nth term of the sequence is 2^{2n-1} or T_{n}=2.(4)^{n-1}

Step-by-step explanation:

The given sequence is 2, 8, 32, 128, 512.........

Or we can rewrite the sequence as 2, 2^{3}, 2^{5},2^{7},2^{9} ,...............nth term.

Now the new form of sequence confirms that the sequence is an exponential sequence.

Therefore nth term of the sequence will be T_{n}=2^{2n-1} Or T_{n}=2.(4)^{n-1}

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Fresh local produce is sold on street corners. You can buy a bunch of 3 bananas for $2. How much would it cost for a bunch of 7
AleksandrR [38]

Answer:

14

Step-by-step explanation:

2x2x2x2x2x2x2

4 0
3 years ago
What is 3/13 of 91 ?
Lunna [17]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>21</em>

▹ Step-by-Step Explanation

3/13 x 91/1

91/13 = 7

3/1 = 3

3 * 7 = 21

Hope this helps!

CloutAnswers ❁

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4 0
2 years ago
Please help!!!!!!! Please help!!!!!! Please help!!!!!!
Nitella [24]

Answers:

  1. Discrete
  2. Continuous
  3. Discrete
  4. Continuous

==============================================

Explanations:

  1. This is discrete because we can't have half a basketball, or any non-whole decimal value to represent the number of basketballs. We can only consider positive whole numbers {1,2,3,4,...}. A discrete set like this has gaps between items. In other words, the midpoint of 2 and 3 (the value 2.5) isn't a valid number of basketballs.
  2. This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.
  3. This is the same as problem 1, so we have another discrete function. You either score a bullseye or you don't. We can't score half a bullseye. The only possible values are {1,2,3,4,...}
  4. This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.

So in short, always try to ask the question: Can I pick two different values, compute the midpoint, and have that midpoint make sense? If so, then you're dealing with a continuous variable. Otherwise, the data is discrete.

7 0
2 years ago
A triangle is rotated 90about the origin. Which rule describes the transformation
Gennadij [26K]

Answer:

Rotation

Step-by-step explanation:

5 0
3 years ago
How do I find the percentage of 18/20
borishaifa [10]
Or for this and any other problem . every percentage is out of a 100

soooo ,
20 | 100 %
10 | 50 %
5 | 25 %
1 | 5 %

SOOO

10 + 5 = 15 50 % + 25 % = 75 % , so know we know 15/20 is 75 percent

but you need 18/20 not 15/20 , so 1 equals 5 % in this problem


1+1+1 = 3 5+5+5 = 15

15 + 3 = 90 75 + 15 = 90 , 18/20 = 90%

I know its probably alot but I wanted to show you all I did , so that it could maybe help you in the future , just gotta plug in different numbers
4 0
3 years ago
Read 2 more answers
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