If the 2nd and 5th terms of a
1 answer:
Answer:
45
Step-by-step explanation:
The n th term of a GP is
= a
where a is the first term and r the common ratio
Given a₂ = 6 and a₅ = 48, then
ar = 6 → (1)
a = 48 → (2)
Divide (2) by (1)
=
, that is
r³ = 8 ( take the cube root of both sides )
r = = 2
Substitute r = 2 into (1)
2a = 6 ( divide both sides by 2 )
a = 3
Thus
3, 6, 12, 24 ← are the first 4 terms
3 + 6 + 12 + 24 = 45 ← sum of first 4 terms
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Answer:
The point-slope form of the line is:
Hence, option B is correct.
Step-by-step explanation:
We know the point-slope form of the line equation is
where
- m is the slope of the line
- (x₁, y₁) is the point
Given
The slope m = 4
From the graph, we can take the point (-3, -4)
So, in our case:
(x₁, y₁) = (-3, -4)
m = 4
now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation
Therefore, the point-slope form of the line is:
Hence, option B is correct.
- The graph of the line is also attached.
