.What is the nth term rule of the linear sequence below? 22 , 18 , 14 , 10 , 6 , . . .
2 answers:
Answer:
Step-by-step explanation:
The nth term of an AP is
where, a is the first term of the sequence and d is common difference.
The given linear sequence is
22 , 18 , 14 , 10 , 6 , . . .
Here, first term is 22 and common difference is
The common difference of the sequence is -4. So, the nth term of given sequence is
Therefore, the nth term of the sequence is .
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Answer:
second option
Step-by-step explanation:
Given
+ 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± = ± i ( noting that
= i ), and
x² = - 5 ( take the square root of both sides )
x = ± = ±
= ±
×
= ± i
Solutions are x = ± i and x = ± i