Convert decimal number format 84(10) to binary number format.

(84)10 = (1010100)2

Step-by-step explanation

Step 1: Divide (84)10 successively by 2 until the quotient is 0:

84/2 = 42, remainder is 0

42/2 = 21, remainder is 0

21/2 = 10, remainder is 1

10/2 = 5, remainder is 0

5/2 = 2, remainder is 1

2/2 = 1, remainder is 0

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1010100. This is the binary equivalent of decimal number 84 (Answer).

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

(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