For a geometric sequence with common ratio
, we have
that is, the
-th term in the sequence is the product of the previous term and the common ratio
. So
Then the sum of the first 7 terms is
Notice that
so we can subtract this modified sum from
to get
We're told that
and
, so the sum of the first 7 terms is
Answer:
152
Step-by-step explanation:
x =7+1 = 8
8 x 19 =152
I)
The Midpoint M of the line segment AB is found using the Midpoint formula:
ii)
the slope of the line through A and B is found by the slope formula:
iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6
No because the scale factor is inconsistent while it would be neccecary to be consistent if it was similar. 19.9/15.3=1.3 while 29/25=1.16 which proves that they have an inconsistent scale factor.
ANSWER:
4th option: y = cosine (x + pi)
STEP-BY-STEP EXPLANATION:
For the function y = cosine (x), when x = 0, y = 1 and when x = , y = -1. The graph shows the opposite, when x = 0, y = -1 and when x = , y = 1, so we must add the same amount x = , for y to be positive 1.
So the equation of the graph would be:
The correct answer is then the 4th option y = cosine (x + pi)