Build a sugar-cube pyramid as follows: First make a 5 × 5 × 1 bottom layer. Then center a 4 × 4 × 1 layer on the first layer, center a 3 × 3 × 1 layer on the second layer, and center a 2 × 2 × 1 layer on the third layer. The fifth layer is a single 1 × 1 × 1 cube. Express the volume of this pyramid as a percentage of the volume of a 5 × 5 × 5 cube.

the diver is 33 feet below the surface.

step-by-step explanation:

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hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

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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