Suppose

At the same time, we can write

Note that
(just reverse the sum). Let's pair the first terms of
and
, and the second, and the third, and so on:

Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas

But
, as we pointed out, so

Answer:
-20 m/s.
Step-by-step explanation:
The computation of the average speed is shown below:
Given that
The initial velocity of the bus, u = 20 m/s
Aceleration of the bus, -a = 8 m/s²
time of motion, t = 5 s
Now The final velocity of the bus is
v = u + at
v = 20 + (-8 × 5)
v = 20 - 40
v = -20 m/s.
(18-7x)+1= -9 Hope this helps ^^
Answer:
<em />
<em />
Step-by-step explanation:
STEP 1: <em>Rewrite so
n is on the left side of the inequality.</em>

STEP 2: <em>Subtract 2
n from 6
n
.</em>

STEP 3: <em>Move all terms containing n to the left side of the inequality.</em>
<em />
<em />
Answer:
x = 2
Step-by-step explanation:
2 to the second power is 4. 4 subtracted by 4 is zero.