Chapter 1 supplemental exercises 35 1.69. let a {1, 2, 3) and b = (2, 3, 4). determine the following (a) (a x b)n (b x a) (b) (an b) x (bna) x 1.70. let r= {(1, 1), (2, 1), (3, 2), (3, 3), (4, 2), (4, 3)} be a collection of ordered pairs. find subsets a, b, c, d of the set (1, 2, 3, 4) such that r = ((a x b)u (c x d)) - (d x d). 1.71. for i= 1, 2, 3, let a; = (i, i + 1]. determine u(a x ad 1.72. for a = {1, 2} and b = {3, 4), it follows that p = {a, b} is a partition of the set s = {1,2,3,4). describe a partition of s x s in terms of cartesian products of the sets a and b.

2nd one in the first row is correct

x = 3 ± √(5+y)

srry ask agian

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