When you cross two number lines that are perpendicular to each other, and intersect at 0, you get a ____

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

2 years ago

Solve the equation 3x-4=8-x

solmaris [256]

Answer:

x=3

Step-by-step explanation:

3x-4=8-x(Group like terms)

3x+x=8+4(Add both sides)

4x=12(After adding you will proceed to divide both sides by 4)

x=3(x is 3 because 4 can divide 12 3 times that's why we have x as equal to 3)

5 0

2 years ago

8. The product of 5, and 3 more than twice a number, is 85. What is the number?

Zolol [24]

Answer:

Step-by-step explanation:

5(2x+3) = 85

10x + 15 = 85

x = (85 - 15)/10

x = 7

6 0

2 years ago

DEAR SIRS AND MISSES, PLEASE HELP ME!

GaryK [48]

Volume of a cone= $\pi$ r^2*h/3
$\pi$ *3^2*6/3=56.55

volume fo a sphere = 4/3 $\pi$ r^3
4/3*pi*1.5^3=14.14

56.55-14.14=42.41

4 0

2 years ago

Nine less than The quotient of two and a number x

aleksley [76]

2/x-9. You must divide 2 by x first to follow the order of operations then subtract by nine.

4 0

2 years ago

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When you cross two number lines that are perpendicular to each other, and intersect at 0, you get a _____?