If a«b a = 18 when b = 3, then find a when b = 5

I need help asap

a = 30

Step-by-step explanation:

Given the following data;

a = 18

b = 3

This is a direct proportion question.

Therefore, a is directly proportional to b.

Mathematically, a = kb

First of all we would find the constant, k;

k = a/b

k = 18/3

k = 6

Now to find the value of a when b = 5

a = kb

a = 6*5

a = 30

56

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