-4n + 5 is the algebraic form of an arithmetic sequence. What is its first term and common difference?

a1=1

- 4 (common difference)

Step-by-step explanation:

a1=-4*1+5=-4+5

a1=1

a2=-4*2+5=-8+5=-3

common difference=a2-a1=-3-1=-4

1 and -4.

Step-by-step explanation:

First term is when n = 1 so it is:

-4(1) + 5 = 1.

The common difference is the coefficient of n which is -4.

For example the 2nd term = -4(2) + 5 = -3.

Common difference =  2nd term - first term

= -3 -1

= -4.

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true

answer: 4  

the square root of 16 is 4. it is a very simple mathematic concept. a square root when a number multiplied by itself will result in a number. here, the number 16 comes when 4 is multiplied by 4. hence the square root of 16 is 4. you can always figure out a square root by the inverse operation of squaring.