on a number line, the directed line segment from Q to S has endpoints at -2 and S at 6. point R partitions the directed line segment from Q to S in the 3:2 ratio. rachel use the section formula to find the location of point R on the number line. her work is shown below. let m = 3, n = 2, x1 =-2, and x2 = 6. what is the location of point R on the number line?

[3/3+5](2-(-14))+(-14)

Step-by-step explanation:

3:5 Ratio means that the m/m+n would be 3/3+5.

Then X2 is 2 and X1 is -14.

X2-X1 is 2-(-14)

21

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