Answer:
The 3rd term is
Step-by-step explanation:
From the given information, the first term of the sequence is
The common ratio of the sequence is
The explicit formula for a geometric sequence is :
To find the third term, we put n=3 to get:
This simplifies to:
Answer:
y = −32
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
<span>The least common multiple of x² – 8x + 12 and x² – x – 2.
by factoring:
∴ </span><span>x² – 8x + 12 = (x-2)(x-6)
</span><span>x² – x – 2 = (x-2)(x+1)
note: the factor (x-2) is common between them take it one time
∴ LCM = (x-2)(x-6)(x+1)
</span>
H=3. Hope it help UUUUUUUUUUUUUUU
Answer:
n = 0, n =2
Step-by-step explanation:
Given
(n + 1) + 3(n - 1) = 2(n - 1)(n + 1) ← distribute parenthesis on both sides
n + 1 + 3n - 3 = 2(n² - 1), that is
4n - 2 = 2n² - 2 ( subtract 4n - 2 from both sides )
0 = 2n² - 4n ← factor out 2n from each term )
0 = 2n(n - 2)
Equate each factor to zero and solve for n
2n = 0 ⇒ n = 0
n - 2 = 0 ⇒ n = 2
