Factor completely. a^n+a^n+1
1 answer:
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Answer:
The equation in point-slope form of the line is:
Step-by-step explanation:
Given the points
- (-1, -5)
- (3, 2)
As the point-slope form is defined as
where m is the slope.
substituting the values m=7/4 and the first point (-1, -5)
Therefore, the equation in point-slope form of the line is:
Answer:
= 5n - 2
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2