All categories

2 years ago

6(1) = 16 6(n) = b(n − 1) + 1 Find the 2-term in the sequence.

Mathematics

1 answer:

Tresset [83]2 years ago

6 0

Answer:

Step-by-step explanation:

Given

$b(1)=16\\ \\b(n)=b(n-1)+1$

Finding the second term of the sequence means to find $b(2).$ To find $b(2)$ substitute $n=2$ into the second expression:

$b(2)=b(2-1)+1\\ \\b(2)=b(1)+1\\ \\b(2)=16+1\\ \\b(2)=17$

You might be interested in

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of

uysha [10]

Let
x-----------> the side length of a pyramid square base
h-----------> the height of the sculpture in the shape of a pyramid

we know that
h=(x-3)
Volume=162 cm³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- this equation can be used to find the length of the sculpture’s base

using a graph tool-----------> to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm

the answer is
the length of the sculpture’s base is 9 cm
the height of the sculpture is 6 cm

8 0

2 years ago

Pre cacl pleaseeeee help. the options are in the attachments as well

ivanzaharov [21]

Answer:

The values of $x$ so that $y = \csc x$ have vertical asymptotes are $-2\pi$ , $-\pi$ , $0$ , $\pi$ , $2\pi$ .

Step-by-step explanation:

The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of $x$ so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is $\pi$ . Then, the vertical asymptotes associated with function cosecant are located in the values of $x$ of the form:

$x = 0\pm \pi\cdot i$ , $\forall \,i\in \mathbb{N}_{O}$

In other words, the values of $x$ so that $y = \csc x$ have vertical asymptotes are $-2\pi$ , $-\pi$ , $0$ , $\pi$ , $2\pi$ .

3 0

3 years ago

What is the volume of the sphere in terms of pie

NeTakaya

Answer: The volume is 288π .

Step-by-step explanation:

V= 4/3 *n*r^3

V = 4/3*n * 6^3

v=4/3 *n * 216

v= 288n

6 0

2 years ago

Find each of the numbers below.

iren [92.7K]

Answer:

opposite of -7 is 7 the oppositeof 3 is -3 oppositeof -4 is 4

8 0

2 years ago

The gasoline tank in Deborahs car holds 13.2 gallons. When her gas gauge says that the tank is 1/4 full, how many gallons of gas

lesantik [10]

Answer:

3.3

Step-by-step explanation:

8 0

3 years ago