Which expresions are equivalent to 3 1/4 -

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

About how many more inches of rain did Asheville get than Wichita? About how many more days did it rain in Asheville than Wichit

zaharov [31]

Answer:

Par 1) 19.10 inches

Part 2) 39 days

Step-by-step explanation:

we know that

Asheville

47.71 in

124 days

Wichita

28.61 in

85 days

Part 1) About how many more inches of rain did Asheville get than Wichita?

In this part subtract the number of inches of rain in Wichita from the number of inches of rain in Asheville

so

$47.71-28.61=19.10\ in$

Part 2) About how many more days did it rain in Asheville than Wichita?

n this part subtract the number of days of rain in Wichita from the number of days of rain in Asheville

so

$124-85=39\ days$

4 0

3 years ago

. For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a bi

Oksanka [162]

Answer: The converse of the statement will be :

$\text{If }x^2 = 64\text{, then } x=8.$ which is not true.

Step-by-step explanation:

The given statement : $\text{If } x = 8\text{, then }x^2 = 64.$

To write a converse of a conditional statement "p then q", will be "q then p" the hypothesis and conclusion interchanges .

Then the converse of the statement will be :

$\text{If } x^2 = 64\text{, then }x=8.$ which is not true.

Since , $8^2=64\text{ and }-8^2=64$

Therefore, $\text{If }x^2 = 64\text{, then } x=8\ or\ x=-8.$

8 0

4 years ago

Read 2 more answers

Find the indicated limit, if it exists.

jok3333 [9.3K]

For the limit to exist, the limits from either side must also exist and be identical. We have

$\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2}(x+3)=2+3=5$

$\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(3-x)=3-2=1$

Since the limits do not match, the overall limit does not exist.

6 0

3 years ago

What is the meaning for < with a line under it

Dafna11 [192]

Answer:

it means greter then or = to

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which expresions are equivalent to 3 1/4 - _ 5/8 select all that apply