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:
- (-6, 10)
- (-10, 9)
- (-11, -6)
- (-5, 1)
Step-by-step explanation:
<em>(x,y) → (x-8, y+4)</em>
1. (2, 6)
(2-8, 6+4)
<u>(-</u><u>6, 10)</u>
2. (-2, 5)
(-2-8, 5+4)
<u>(-10, 9)</u>
3. (-3, -10)
(-3-8, -10+4)
<u>(-11, -6)</u>
ídk man u should connect it to <u>(11, -7)</u> since it's the only choice closest to the right answer, but If u can write the correct then write this. there's prolly an error in that quiz ídk
4. (3, -3)
(3-8, -3+4)
<u>(-5, 1)</u>
<u> </u>still not in the choices nanii but <u>(5, -14)</u> is the only choice left and also the closest, and even if u use calculator the correct answer is still (-5, 1). sigh, I hope this helper at least
Answer:
The fact that the polynomial (3x2+4x+5) + (2x+6) yields a poloynomial, employs what property?
Step-by-step explanation:
