Isabelle is planning a road trip to her friend's house. She looks at a map that has a scale of in. to 25 mi. The road distance between her home town and her friend's town measures 12 in. on the map. If d represents the road distance between the two towns, what is d? A. 50 mi. B. 150 mi. C. 300 mi. D. 600 mi.

a

step-by-step explanation:

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c.)

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