Ben recently purchased a new home. In order to be able to afford the home, he came up with a budget that breaks down his monthly income as follows: 30% for housing, 20% for food, 22% for utilities, 10% for savings, 6% for entertainment, and 12% for personal items. Ben has a net income of $4000 per month. Calculations for budget are identical to calculations for tips. Use what you know about computing tips to answer e

(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

answer: 8

step-by-step explanation: