Consider the following collection of base ten pieces: 5 flats, 6 longs, 8 units. Complete the statement below so that the same value is retained. 4 flats, longs, 8 units

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answer: hey there,

the answer you are looking for is a..

hope this you!

(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

-1/4 > -1 2/3. -1/4 is greater than -1 2/3 because it is closer to 0 on the number line.