If a ball is thrown straight up into the air with an initial velocity of 100 ft/s, it height in feet after t second is given by y = 100t – 16t^2 a.) Find the average velocity for the time period begining when t = 2 and lasting for the given amount of time.

0.5 seconds.

0.1 seconds.

0.01 seconds.

b.) Based on the above results, guess what the instantaneous velocity of the ball is when t = 2 seconds.

what is the model?

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week