Amountain climber starts a climb at an elevation of 453 feet above sea level. at his first rest stop he has climbed 162 feet, and by his second rest stop he has climbed another 207 feet. it's getting late in the day, so the climber starts his way down. if the climber descends 285 feet, how much does he need to ascend or descend to return to the original starting point? a) ascend 84 feet b) ascend 78 feet c)descend 84 feet d)descend 78 feet

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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