You separate a large bag of baby carrots into two groups: one for you lunchbox and one for your friend's lunchbox. The tape diagram represents the ratio of small bags of baby carrots for your lunchbox to small bags of baby carrots for your friend's lunchbox. Each small bag contains 7 baby carrots. You make 8 small bags of babby carrots for your lunchbox how many baby carrots are in the large bag of baby carrots

(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

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