Abby has been absent from class. how would you explain to her what absolute value is? use the number line and an example in your explanation.

Present in the class on a day is Represented by Positive Integer(+1).

Absent from the class on a day is represented by Negative Integer(-1).

→Absolute value of Any Integer is always Positive.

|+1|=1

|-1|=+1

5+2x=a

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(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