The sum formula for a geometric sequaence is:
sum(n) = a1(1-r^n)/1-r
Where n is the number of terms, a1 is the first term and r is the common ratio:
s(8) = 3(1-1/2^8) / (1-1/2)
s(8) = 3(1-1/256) / 1/2
s(8) = 2 253/256 / 1/2
s(8) = 765/128
The answer is C.
Answer:
Step-by-step explanation:
Looking at the given graph, the slope of the line is expressed as
Slope = (y2 - y1)/(x2 - x1)
y2 = 19.5
y1 = 9.5
x2 = 6
x1 = 1
Slope = (19.5 - 9.5)/(6-1)
Slope = 10/5 = 2
The successive terms is increasing by 2
The formula for the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a is the first term of the sequence
n is the number of terms in the sequence.
d is the common difference.
From the information given,
a = 9.5
Tn = an
d = 2
The explicit rule for the arithmetic sequence will be
an = 9.5 + 2(n-1)
The answer is Abecause if you plug in the value es for each function A is the only one the makes it trye
Answer:
The classes need to raise $164.86 more to reach their goal of $1200.
Step-by-step explanation:
$1,200 total
Mrs. LeBlanc's class has raised 50% of the total, so they've raised $600.
1200/2 = 600
Mr. Patel's class has raised $235.14.
235.14 + 600 = 835.14
Ms. Warner's class has raised 1/3 of the total of Mrs. LeBlanc's class ($600), so they've raised $200.
600/3 = 200
835.14 + 200 = 1035.14
The three classes have raised a combined total of $1035.14.
1200 - 1035.14 = 164.86
The classes need to raise $164.86 more to reach their goal of $1200.
Answer:
Step-by-step explanation:
step 1
Find the measure of side c
Applying the law of cosines
substitute the given values
step 2
Find the measure of angle A
Applying the law of sine
substitute the given values
step 3
Find the measure of angle B
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
substitute the given values
