You are drawing two cards, without replacement, from a standard deck of 52 cards. What is the

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

Simplify the expression where possible. (t 9) -8

makvit [3.9K]

Answer:

$\frac{1}{t^{72}}$ .

Step-by-step explanation:

To solve this problem, we need to simplify the expression $(t^{9})^{-8}$ .

We know that $(x^{a})^{b} = x^{ab}$

Therefore:

$(t^{9})^{-8} =t^{-72} =\frac{1}{t^{72}}$ .

7 0

3 years ago

The point A (-7, 5) is reflected over the line x = -5, and then is reflected over the line x = 2. What are the coordinates of A'

schepotkina [342]

C. The Y value does not change because you are only reflecting over x= lines. After the first, it is (-3.5). Then (7, 5)

6 0

3 years ago

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Find the circumference of the circle in terms of π.

SSSSS [86.1K]

Answer:

C) 12π cm

Step-by-step explanation:

<u>Circumference formula:</u>

C = 2πr

Given r = 6 cm

<u>Circumference is:</u>

C = 2π*6 cm = 12π cm

Correct choice is C

4 0

2 years ago

Is 11.5 rational or irrational

earnstyle [38]

11.5 is a rational number

4 0

3 years ago

Read 2 more answers