Answer:
The first term of the geometric series is 1
Step-by-step explanation:
In this question, we are tasked with calculating the first term of a geometric series, given the common ratio, and the sum of the first 8 terms.
Mathematically, the sum of terms in a geometric series can be calculated as;
S = a(r^n-1)/( r-1)
where a is the first term that we are looking for
r is the common ratio which is 3 according to the question
n is the number of terms which is 8
S is the sum of the number of terms which is 3280 according to the question
Plugging these values, we have
3280 = a(3^8 -1)/(3-1)
3280 = a( 6561-1)/2
3280 = a(6560)/2
3280 = 3280a
a = 3280/3280
a = 1
Answer:
1. Find the common denominator.
2. Multiply everything by the common denominator.
3. Simplify.
4. Check the answer(s) to make sure there isn't an extraneous solution.
Step-by-step explanation:
Hope this helps!
The correct answer:
The corresponding segments BC and AD in the image are parallel
Answer:
a = -3 b = -5 c = 9
Step-by-step explanation:
A quadratic function is written in the form
ax^2 +bx +c =0
-3x^2-5x+9=0
a = -3 b = -5 c = 9
These two lines are congruent (the same) so we can set them equal to each other and solve.
5x-4=3x+6
The first thing we need to do is subtract 3x from both sides leaving us with 2x-4=6
Now we can add 4 to both sides leaving us with 2x=2
Now we need to divide both sides by 2 to get x alone.
Giving us our final answer of x=1
