Answer:
The first term of the sequence is:
Step-by-step explanation:
Given the sequence
aₙ = (-1)ⁿ · 3n²
substituting n = 1 to determine the first term
a₁ = (-1)¹ · 3(1)²
a₁ = (-1)¹ · 3(1)²
Applying the exponent rule: 
a₁ = -1 · 3(1)
a₁ = -1 · 3
a₁ = -3
substituting n = 2 to determine the 2nd term
a₂ = (-1)² · 3(2)²
a₂ = 1 · 3(4)
a₂ = 12
substituting n = 3 to determine the 3rd term
a₃ = (-1)³ · 3(3)²
a₃ = -1 · 3(9)
a₃ = -1 · 27
a₃ = -27
substituting n = 4 to determine the 4th term
a₄ = (-1)⁴ · 3(4)²
a₄ = 1 · 3(16)
a₄ = 1 · 48
a₄ = 48
Therefore, the first term of the sequence is:
Answer:3.42
Step-by-step explanation:to get the answer to a area equation you need to multiply the length by the width.
Answer:
The reciprocal of 7 is 1/7.
Step-by-step explanation:
Answer:
The answer of this inequality is: x < 12
Step-by-step explanation:
1) First, place out what is given:

2) Distribute -5 to (4 + x)

3) We want to get x by itself, so we need to move each term to their own side(s):
4 - 7x > - 20 - 5x
+20 + 7x > +20 +7x
---------------------------
24 > 2x
5) Divide both sides by 2

6) Now that you have x alone, your answer is:

(I changed the position of x which is why the sign turned around)
Answer:
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Step-by-step explanation: