Diego is flying from Philadelphia to Barcelona. On the trip to Barcelona, the plane flies at a constant cruising speed of 550\,\text{mph}550mph550, start text, m, p, h, end text. On the trip home, Diego makes a chart of the plane's progress once it reaches its cruising speed, which is constant. Which is faster, the cruising speed on the flight from Philadelphia to Barcelona, or the cruising speed on the flight home?

b

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