Answer:
22
Step-by-step explanation:
Generate the terms of sequence T using the nth term formula n² - 3
a₁ = 1² - 3 = 1 - 3 = - 2
a₂ = 2² - 3 = 4 - 3 = 1
a₃ = 3² - 3 = 9 - 3 = 6
a₄ = 4² - 3 = 16 - 3 = 13
a₅ = 5² - 3 = 25 - 3 = 22
22 is common to sequence S and T
Answer: 
Step-by-step explanation:
Remembert that, by definition:
→ 
Then, you can rewrite 
in exponential form:
Now you can solve for the variable "x":
Add 6 to both sides of the equation:
And finally you must divide both sides of the equation by 2, then:
Answer:
37.5 cm^2
Step-by-step explanation:
The area of a parallelogram is
A = bh where b is the base and h is the height
A = 7.5 * 5
A = 37.5 cm^2
Answer:
-4 / 9
Step-by-step explanation:
n - 2 = 10n + 4/2
n - 10n = 4/2 + 2
-9n = 4/2 + 4/2 ( taking LCM of 4/2 and 2)
-9n = 8/2
-9n = 4
n = 4 / -9
therefore n = -4 /9 ( since the minus sign doesn't make a difference whether placed at numerator or denominator) .
