El profesor Andrés para iniciar su clase se ubica en el centro del salón frente al tablero, esperando el silencio y la atención de todos sus alumnos. Cuando esto ocurre, el profe empieza su intervención desplazándose 2

pasos a su derecha, luego 5 pasos a su izquierda, continúa su desplazamiento a su izquierda 3 pasos más,

luego se desplaza a su derecha 4 pasos, en esta misma dirección se desplaza otros 4 pasos y termina

desplazándose 6 pasos a su izquierda. ¿En qué posición quedó el profe Andrés?
Ayuda por fis ​

e) none of the above because the measure of angle cba is 101°

(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

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1