Allen was involved in an auto accident in which he was at fault. his car sustained damages in the amount of $1,327. the other vehicle had damages costing $1,309 in repairs. allen was not injured, but the driver of the other car required medical treatment costing $22,619 and a passengers injuries totaled $24,051. additional property damage amounted to $3,460. allen’s policy includes 50/100/50 liability, $250 deductible collision and full coverage comprehensive. determine the amount of damages the insurance company is required to pay?

answer:

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