Which measure of center is the most appropriate for this

For each of the following sequences, • Give a formula for the nth term in the sequence, • Give a recursive definition for the se

Andrew [12]

Answer:

(a) $n^{th} = n$

$f(1) = 1$

$f(n) = f(n-1) + 1$

(b) $n^{th} = 2^{n-1}$

$f(1) = 1$

$f(n) = f(n-1) * 2$

(c) $n^{th} = n!$

$f(1) = 1$

$f(n) = f(n-1) * n$

Step-by-step explanation:

(a) This is a sequence of consecutive number

$n^{th} = n$

$f(1) = 1$

$f(n) = f(n-1) + 1$

(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number

$n^{th} = 2^{n-1}$

$f(1) = 1$

$f(n) = f(n-1) * 2$

(c) This is factorial sequence. Where the next number is this number multiplied by $n^{th}$

$n^{th} = n!$

$f(1) = 1$

$f(n) = f(n-1) * n$

5 0

3 years ago

Find the volume of the prism.

Alex_Xolod [135]

Answer:

c. 120 units^3

Step-by-step explanation:

L x W x H = <em>V</em>

3 x 4 / 2 = 6

6 x 20 = 120

6 0

3 years ago

Write the reciprocal of -3/7

Alex_Xolod [135]

By flipping the fraction of -3/7, you will get the fraction of -7/3 or - 2 1/3.

Therefore, the reciprocal of -3/7 is - 2 1/3.

Hope this helps!

6 0

3 years ago

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Shaquil needs to borrow $400. The loan company charges him $80 in fees for the loan. Shaquil calculates that the annual percenta

lesya [120]

Answer:

(B)

Step-by-step explanation:

PRINCIPAL AMOUNT(p) = $400

RATE (r)= 250% = 2.5

INTEREST = $80

t = time (in days) = t/365

By using the formula,

r = $\frac{i}{pt}$

2.5 = $\frac{80*365}{400*t}$

t = $\frac{364*80}{400*2.5}$

t = 29.2

t = 29 days (approx)

Hence option (B) is correct.

6 0

3 years ago

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What is ans 1/2 of 6=

Kazeer [188]

3
the word "of" means to multiply so, 1/2 x 6 = 3

6 0

3 years ago

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