An experiment was performed to find the average speed of a grasshopper. The average speed has been plotted on the number line as marked by the arrow. What is the speed of the grasshopper in feet per second?

Convert the speed to another unit of length per second. Round your answer to the nearest thousandth. Defend your answer mathematically.

How many minutes would it take this grasshopper to cover a distance of 1,000 feet? Show your work. Note: distance = rate × time.

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step-by-step explanation:

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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