All categories

3 years ago

Sequences and series

Mathematics

1 answer:

Vinvika [58]3 years ago

5 0

Answer:

Step-by-step explanation:

$a_{n}=\frac{(n+3)!}{(n+3}=\frac{(n+3)(n+2)!}{n+3}=(n+2)!\\a_{1}=(1+2)!=3!=3*2*1=6\\a_{2}=(2+2)!=4!=4*3*2*1=24\\a_{3}=(3+2)=5!=5*4!=5*24=120\\a_{4}=(4=2)!=6!=6*5!=120*6=720\\a_{5}=(5+2)=7!=7*6!=720*7=5040$

You might be interested in

Multiply 3 times 2.5 times 1.05 and rounded to the nearest tenth

Crazy boy [7]

The answer is 7.9 hope this helps.

4 0

3 years ago

Read 2 more answers

. mc076-1.jpg If mc076-2.jpg and mc076-3.jpg, what is mc076-4.jpg?

AleksandrR [38]

.JPG is a format of any picture on the digital source. mc076 is could be a file of any picture. Well there is no more detail in the question that what kind of this file but it can 100 % right that these files are belong from any Picture.

3 0

3 years ago

Pls Help! Which of the following equations represents a line that is parallel to the line y = - x – 16.

bonufazy [111]

I think the answer b

3 0

3 years ago

a line passes through the point (2,-3) and is perpendicular to the line y=-3 find equation for this line

melamori03 [73]

Answer:

x=2

Step-by-step explanation:

y=-3 is a horizontal line so the one that is perpendicular to it is supposed to be vertical

5 0

3 years ago

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago