Answer:
First term a₁ = 3/2 and common ratio r = 2
Step-by-step explanation:
We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96
Since common ratio is required so, the sequence is geometric sequence
The formula used is:
We are given: third term = 6 i,e
Seventh term = 96
Dividing eq(2) and eq(3)
So, Common Ratio r = 2
Finding First term using eq(1)
So, First term a₁ = 3/2 and common ratio r = 2
Two lines that are parallel have the same slope. In its slope-intersect form, we can write the equation of a line with slope m and y-intercept b as:
Step 1
Write the given equation in slope-intercept form and identify its slope m.
Thus:
Step 2
Find the equation with the same slope m = -2. We need to identify which of them has -2 multiplying the variable x.
Answer
From the given options, the only one with the same slope m = -2, therefore parallel to the given line, is: