Pls help and show work pls

Maximum height is 2.58 feet

Step-by-step explanation:

From second newton's equation:

s is displacement, s = 2 ft

u is initial velocity, u = 8 ft/s

t is time

a is acceleration, g = 9.8 m/s² = 29.4 ft/s² [ motion under gravity ]

substitute:

For maximum height, final velocity, v is zero:

f(t) is 2 feet

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.