What is the sum of the arithmetic sequence 149, 135, 121, …, if there are 28 terms?−1,204
−1,176
−1,148
−1,120
Answers
The sum of the arithmetic sequence is -1120.
What is arithmetic sequence?
"It is a sequence of numbers in which the difference between consecutive terms is constant."
What is the sum of arithmetic sequence?
"
where a as the first term,
d the common difference between the consecutive terms,
n is the total number of terms in the sequence."
For given question,
We have been given an arithmetic sequence 149, 135, 121,. . .
The first term of given arithmetic sequence is 149
⇒ a = 149
The common difference is,
⇒ d = 135 - 149
⇒ d = -14
There are 28 terms.
⇒ n = 28
Using the formula for the sum of an arithmetic sequence,
Therefore, the sum of the arithmetic sequence is -1120.
Learn more about the arithmetic sequence here:
#SPJ2
The common difference is -14.
Let's simplify this by expressing each term as
163 - 14n
where n is the number of the term.
Then the sum of the 28 terms is
28 * 163 - 14 (1+2+3+...+28)
= 4,564 - 14 * 28 * 29 / 2
= -1,120
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−2x+15y=−24
2x+9y=24
Answers
−2x+15y=−24
2x+9y=24
Add the two equations together.
-2x +2x = 0
15y + 9y = 24y
-24+24 = 0
The two equations when added become:
24y = 0
Solve for y:
divide both sides by 24:
y = 0/24 = 0
The value of Y is 0
Now replace Y in one of the equations and solve for x:
2x+9(0) = 24
2x + 0 = 24
2x = 24
Divide both sides by 2:
x = 24/2
x = 12.
The value of x is 12
The solution is (12,0)
Answer:
The solution is ( x , y ) = ( 12 , 0 )
Step-by-step explanation:
[ Refer to the attachment ]
Answers
The coordinate of point L' after translation is L'(6, -8)
Translation of coordinates
Given the coordinates of JKLM as J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5)
Using the translation rule
(x, y) → (x + 8, y − 3)
The coordinate of point L' after translaton will be;
L' = (-2+8, -5-3)
L' = (6, -8)
Hence the coordinate of point L' after translation is L'(6, -8)
Learn more on translation here: brainly.com/question/12861087
9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25
Answers
Answer:
16x^2 + 24x + 9
Step-by-step explanation:
perfect square trinomial is of the form
a^2 + 2 * a * b + b^2
9x^2 + 9x + 1 = (3x)^2 + 3*3x*1 + 1^2 not a perfect square trinomial
36b^2 − 24b + 8 = ( 6b)^2 -2 * 6b *2 + ( 2 sqrt(2)) ^2 not a perfect square trinomial
16x^2 + 24x + 9 = ( 4x) ^2 + 2 * ( 4x) * 3 + 3^2 = perfect square trinomial
4a^2 − 10a + 25 = ( 2a) ^2 - 1 * 2a *5 + 5^2 not a perfect square trinomial
Answer:
The third answer listed:
Step-by-step explanation:
The trinomial:
can be factored out as follows:
which as can be seen,is the perfect square of a binomial, so this trinomial is what is called a perfect square trinomial.
-2(x + 6) > -41
Answers
Answer:
please be more specific
Answers
Answer:
The correct answer is A.
Answers
In 1 hour Ursula earns = 9 dollars
So
In h hours Ursula earns = (9/1) * h dollars
= 9 * h hours
= 9h hours
So we have found from the above discussion that Sarah wrote the correct answer and it was 9h.I hope you are satisfi3ed with the answer and theexplanation that I have provided. You can use this procedure for solvingsimilar problems.
Sarah is correct because if Ursula is earning $9 per hour then every hour you can add 9. Lets say h=2 then you would multiply 9*2 to get how much she spent. Josh is incorrect because dividing would subtract the amount of money every our.
Hope this Helps