
The rows add up to

, respectively. (Notice they're all powers of 2)
The sum of the numbers in row

is

.
The last problem can be solved with the binomial theorem, but I'll assume you don't take that for granted. You can prove this claim by induction. When

,

so the base case holds. Assume the claim holds for

, so that

Use this to show that it holds for

.



Notice that






So you can write the expansion for

as

and since

, you have

and so the claim holds for

, thus proving the claim overall that

Setting

gives

which agrees with the result obtained for part (c).
13 is C, √10
Rational numbers are numbers that can be expressed as a ratio, or a fraction.
14 is C, 9.5 × 10^5
0 because there are no bicycles in the bycicle rack
The answer will be $41.45 or $41.46 i'm not sure what you answer choices are! hope this helped!
Yes it has the same value
They are exponents so it would be 8 times (4*4) + (2*2*2*2)
The exponent is how many times u multiple itself