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zhannawk [14.2K]
3 years ago
11

A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Given:

f(1)=3,f(n)=2\times f(n-1)         ...(i)

For n\geq 2.

To find:

The nth term for the given recursive formula.

Solution:

The given recursive formula is of the form of

f(n)=r\times f(n-1)            ...(ii)

It is the recursive formula of a GP, where r is common ratio.

On comparing (i) and (ii), we get

r=2

Now,

First term: a=f(1)=3

Common difference: r=2

nth term of a GP is

f(n)=ar^{n-1}

Putting a=3 and r=2, we get

f(n)=3(2)^{n-1}

Therefore, the equation for the nth term is f(n)=3(2)^{n-1}.

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mihalych1998 [28]

Given Information:  

Mean SAT score = μ = 1500

Standard deviation of SAT score = σ = 3 00

Required Information:  

Minimum score in the top 10% of this test that qualifies for the scholarship = ?

Answer:

\bar{x} = 1884\\

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

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The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\

Therefore, you need to score 1884 in order to  qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

4 0
3 years ago
10x4ones= ones=<br> 10x2tens= tens=
Vsevolod [243]
Well, 10x4=40 because 10+10+10+10=40 and that means your answer must be 40 ones or you asked something else.
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3 years ago
Geometry math question no Guessing and Please show work thank you
4vir4ik [10]

here 8x and (2x+60) are corresponding angles

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8x=2x+60

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3 years ago
Will give Brainliest! if right!
Ilya [14]
<span>46, 37, 16, 24, 47, 23, 19, 31, 25

put in order</span>
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3 years ago
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Marta hopes to have a test average of at least 90 by the end of the marking period. Her grades on the first four tests have been
Virty [35]

Answer:

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Explanation:

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