Tom added all even numbers from 2 to 100. alice's added all odd numbers from 1 to 99. then joe subtracted alices result from tom's result. what is joe's result?

50

Step-by-step explanation:

Sum of all even numbers from 2 to 100:

The formula we will use is  

Where

n is the number of numbers

a is the first term

l is the last term

Here,

from 2 to 100, there are 100/2 = 50 terms (n=50)

first term, a = 2

last term, l= 100

So we have:

Sum of all odd numbers from 1 to 99:

Here, we will use a different formula for S_n.

From 1 to 99, there are 50 odd numbers (n = 50)

a is the first term, a = 1

d is the common difference, the difference in successive terms, the sequence is basically 1, 3, 5... so d = 3 - 1 =2

Now, we substitute and find:

So, subtracting Alice's result (2500) FROM Tom's (2550), we get:

2550 - 2500 = 50

Joe's result is 50

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.