Sarah is demonstraing the idea that polynomials are closed under addition. Her work and explanation are shown. Select an equation and phrases to complete the statement Part A: Add 30° +63 - 7 to Equation A 21" - (2x) + 42 Equation B (2x) + 4.4.19 Equation c ( 82)-2-(3x)" + 7 Part B: This is closed because of the sum are and the sum is a polynomial.

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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

a long term investor

step-by-step explanation:

because he is a long term investor