One sixth of his life was spent in boyhood. One twelfth of his life was spent as a youth. After 1/7 more of this life passed, he got married. Five years after getting married, he
had a son. His son lived 42 as long as Diophantus lived. The son died four years before
Diophantus died. How long did Diophantus live?
Write and solve an equation to determine the number of years

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step-by-step explanation:

she gotta workk that a 2

step-by-step explanation:

3100

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