Answer:a) 1,2,6,24,120
Step-by-step explanation:
The formula for the nth term of the sequence is expressed as
n=(n+1)!/n+1
For the first term, n = 1. Therefore,
(1+1)!/(1+1) = 2!/2 = (2×1)/2 = 1
For the second tern, n = 2. Therefore,
(2+1)!/2+1 = 3! /3 = (3×2×1)/3 = 6/3 = 2
For the third term, n = 3, therefore
(3+1)!/3+1 = 4!/4 =(4×3×2×1)/4 = 6
For the fourth term, n = 4. Therefore
(4+1)!/4+1 = 5!/5 = (5×4×3×2×1)/5 = 24
For the fifth term, n = 5. Therefore
(5+1)!/5+1 = 6!/6 = 6× 5×4×3×2×1)/6 = 120
Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
Answer:
(-4, -3), (4, -1), (8, 0), (12, 1)
Step-by-step explanation:
The x- and corresponding y-values are listed in the table. Put each pair in parentheses, <em>x-value first</em>. (That is an <em>ordered pair</em>.)
(x, y) = (-4, -3) . . . . from the first table entry
(x, y) = (4, -1) . . . . from the second table entry
(x, y) = (8, 0) . . . . from the third table entry
(x, y) = (12, 1) . . . . from the last table entry
Answer:
2x³ + x² - 11x - 15
Step-by-step explanation:
Step 1: Write out expression
2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)
Step 2: Distribute negative
2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9
Step 3: Combine like terms (x)
2x³ + x² + 9x - 10x - 10x - 9 - 6
2x³ + x² - x - 10x - 9 - 6
2x³ + x² - 11x - 9 - 6
Step 4: Combine like terms (constants)
2x³ + x² - 11x - 15
Answer:
∣x+a+b∣∣x+2a+3b∣
Step-by-step explanation:
∣x+a+b∣∣x+2a+3b∣
