Emily and Lily are reading the same copy of the same book for a summer reading Assignment • Emily has already read 15 pages. Emily reads 25 pages per day until the book is finished. • Lily has already read 30 pages. Lily reads 20 pages per day until the book is finished. One day, the two girls notice that they are on the same page. What page number are they on when they have read the same amount of the book? ​

24

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