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:
The answer is 3.785, but rounding it to the nearest hundredth is 3.68 or 3.79, depending on rather they wanted you to take the t and round up or just leave it off.
6/74 i think. So #banananutmuffin/#muffinsintotal
Answer:
Step-by-step explanation: (Equation 2) = 12(-12+9y/4) - 10y = -8
-144+108y/4 - 10y = -8
-144 + 108y - 40y/4 = -8
-144 + 108y - 40y = -32
108y - 40y = -32+144
68y = 112
Y= 1.64
2-4x+9y=14
12x-10y= -8
2-14+9y = 4x
-12 + 9y = 4x ( equation 3)
(Put in equation 2)
these two bars | | mean <u>absolute value</u>
here's how to find x
| x - 7| = 2
first apply the absolute rule
x - 7 = 2 x - 7 = -2
in both equations add 7 on both sides
x - 7 + 7 = 2 + 7 x - 7 + 7 = -2 + 7
then simplify the expressions
x = 9 x = 5
now combine these two solutions to get your answer
x = 9 or x = 5
hopefully my explanation helps
