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2 years ago

4d-6=-14+5d NEED HELP ASAP

Mathematics

1 answer:

Gennadij [26K]2 years ago

3 0

Answer:

Hewo There!!!

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Isolate the variable by dividing each side by factors that don't contain the variable.

d = 8

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Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=3%286%20%2B%207%29%20%20" id="TexFormula1" title="3(6 + 7) " alt="3(6 + 7) " align="absmiddl

scoray [572]

Answer:

Step-by-step explanation:

3(6+7)

=18+21

=39

3(6+7)

=3(13)

=39

8 0

3 years ago

Find the area of a square with diagonals of length 9root2

igomit [66]

Answer:

$A=162$

Step-by-step explanation:

The are of a square is $A=a^{2}$ so 9 root 2 is $9\sqrt{2}$ since the formula says that a need to be squared so we need to square 9 root 2 $(9\sqrt{2})^{2}$ which would be $162$ or another way would be to turn 9 root 2 into a decimal $9\sqrt{2} = 12.727292206...$ then you would square that number just like we did in the first example $(12.7272206)^{2}$ which would give you $161.98$ then all you have to do is round to the nearest tent then you would get $162$ as an answer

i would agree that this step requires to much work so just stick with the first way to do it.

thank you for waiting for this answers i hope it helps a lot i went into details to make sure that you understand if you still don't get it just post another question ill be more than happy to help you out.

5 0

3 years ago

What is the specific method called on #3

IceJOKER [234]

Answer:

subtraction

Step-by-step explanation:

6 0

3 years ago

Estimate. then ,divide using the standard algorithm and check 45.15/21

insens350 [35]

I estimated to 45 then divided 21 and got about 2.1

7 0

3 years ago