All categories

3 years ago

Find the 45th term of the arithmetic sequence has the first term = -3 and d = 2.

Mathematics

1 answer:

navik [9.2K]3 years ago

5 0

Answer:

45th term is 85

Step-by-step explanation:

We use the definition of the nth term of an arithmetic sequence:

$a_n=a_1+(n-1)\,d$

which for our case gives:

$a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85$

You might be interested in

Please help me!!!!!!

UkoKoshka [18]

Answer:

Step-by-step explanation:

because u have 5 potatoe bags and it .............

6 0

3 years ago

I have to get this so I pass help plz

pshichka [43]

Answer:

$\boxed{\sf x=-2}$

$\boxed{\sf y=-4}$

Step-by-step explanation:

First, Let's solve for x in -2x+2y=-4:

$\sf -2x+2y=-4$

Subtract 2y from both sides:

$\sf -2x+2y-2y=-4-2y$

$\sf -2x=-4-2y$

Divide both sides by -2:

$\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}$

$\bold{ x=y+2}$

Now, we'll substitute x=y+2 to 3x+3y=-18:

$\sf 3x+3y=-18$

→ let x=2+y

$\sf 3\bold{(2+y)}+3y=-18$

Simplify:

$\sf 6+6y=-18$

Now, let's solve for y in 6+6y=-18

$\sf 6+6y=-18$

Subtract 6 from both sides:

$\sf 6+6y-6=-18-6$

$\sf 6y=-24$

Divide both sides by 6:

$\sf \cfrac{6y}{6}=\cfrac{-24}{6}$

$\bold{ y=-4}$

Now, substitute y=-4 into x=2+y:

$\sf x=2+y$

→ let y = -4

$\sf x=2+\bold{-4}$

$\bold{x=-2}$

Therefore, x=-2 and y=-4.

_____________________________________

5 0

2 years ago

Prove that: cos^3A Cos3A + sin^3A.sin 3A=cos^3 2A

aalyn [17]

Answer:

3 0

3 years ago

A recipe calls for 32 ounces of orange juice. How many cups of juice would you need for the recipe?

Andru [333]

The answer to your question is that there are 32 ounces in 4 cups

5 0

3 years ago

Read 2 more answers

2z^4-10z^3+4z^2 factorable?

charle [14.2K]

Yes
factor out the 2z^2 in each term
(2z^2)(z^2-5z+4)
factor some more
z^2-5z+4
find what 2 numbers multiply to get 4 and add to get -5
the numbers are -1 and -4
(z-1)(z-4)

the factored form is
(2z^2)(z-1)(z-4)

8 0

3 years ago