Fill in the blanks in the following proof, which shows that the sequence defined by the recurrence relation

sk = sk − 1 + 2k, for each integer k ≥ 1
s0 = 3.
satisfies the formula

sn = 3 + n(n + 1) for every integer n ≥ 0.

Proof (by mathematical induction):

Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7. t

Apiling for a high-rise building is pushed by two bulldozers at exactly the same time. one bulldozer exerts a force of 1250 pounds in a westerly direction. the other bulldozer pushes the piling with a force of 2650 pounds in a northerly direction. what is the direction of the resulting force upon the piling, to the nearest degree? a. 65 n of w b. 25 n of w c. 45 n of w d. 35 n of w

Luke wants to reduce the area of his rectangular garden by 1/4 the expression 14/w can be used to represent this change. what is another way to write this expression?