The sum of the first four terms of the sequence is 22.
In this question,
The formula of sum of linear sequence is
The sum of the first ten terms of a linear sequence is 145
⇒ 
⇒ 145 = 5 (2a+9d)
⇒ 
⇒ 29 = 2a + 9d ------- (1)
The sum of the next ten term is 445, so the sum of first twenty terms is
⇒ 145 + 445
⇒ 
⇒ 590 = 10 (2a + 19d)
⇒ 
⇒ 59 = 2a + 19d -------- (2)
Now subtract (2) from (1),
⇒ 30 = 10d
⇒ d = 
⇒ d = 3
Substitute d in (1), we get
⇒ 29 = 2a + 9(3)
⇒ 29 = 2a + 27
⇒ 29 - 27 = 2a
⇒ 2 = 2a
⇒ a = 
⇒ a = 1
Thus, sum of first four terms is
⇒ 
⇒ 
⇒ S₄ = 2(2+9)
⇒ S₄ = 2(11)
⇒ S₄ = 22.
Hence we can conclude that the sum of the first four terms of the sequence is 22.
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Answer: x+y
Step-by-step explanation: 4x-4y-3x-3y
4x-3x is x
4y-3y is y
If the area of the room is 9x2 − 6x + 1 square feet, then the
length of one<span> side of the room is <span>(3x − 1) feet. </span></span>The correct answer between
all the choices given is the third choice or letter C. I am hoping that this
answer has satisfied your query and it will be able to help you in your
endeavor, and if you would like, feel free to ask another question.
The equation which is equivalent to 60% of 25 are x • 1.6 = 25, 0.6 • 25 = x and x/25=60//100
Percentages can be expressed as decimals or fractions.
Given the expression 60% of 25, this can b expressed as:
where x is the result of the expression.
Expressing 60% as a decimal will give;
0.6 of 25 = x
0.6 * 25 = x
From the expression 60/100 * 25 = x, this can also be written as:
25 = 100/60 x
25 = 10/6 x
25 = 1.6x
Hence the equation which is equivalent to 60% of 25 are x • 1.6 = 25, 0.6 • 25 = x and x/25=60//100
Learn more on equation here: brainly.com/question/2972832
Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>
<em />
Given expression:
In this case:
To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:
Simplifying:
Answer: The remainder is 15.
