I'll do problem 13 to get you started.
The expression 
is the same as 
Then we can do a bit of algebra like so to change that n into n-1
This is so we can get the expression in a(r)^(n-1) form
- a = 8/7 is the first term of the geometric sequence
- r = 2/7 is the common ratio
Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).
We'll plug those a and r values into the infinite geometric sum formula below
S = a/(1-r)
S = (8/7)/(1 - 2/7)
S = (8/7)/(5/7)
S = (8/7)*(7/5)
S = 8/5
S = 1.6
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Answer in fraction form = 8/5
Answer in decimal form = 1.6
The answer is negative two.
On your X-axis, go to -5 and identify which Y-coordinate it is. For this problem, it would be -2.
Answer:
y = 3x - 10
Step-by-step explanation:
Assuming you require the equation of the parallel line through (2, - 4)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 24 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes, hence
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (2, - 4) into the partial equation
- 4 = 6 + c ⇒ c = - 4 - 6 = - 10
y = 3x - 10 ← equation of parallel line
12 (don't take my answer because it's been awhile since I've fine a question like that but I'm pretty sure it's 12)
