Chapter ISG, Problem 2.3.3P

a.

To determine

To write an equation

Answer to Problem 2.3.3P

Equation is $x+x+2+x+4+x+6=0$

Explanation of Solution

Given information:

Sum of 4 consecutive odd integers is equal to zero.

Calculation:

Let the 4 consecutive numbers be $x,x+2,x+4,x+6$

According to question,

  $x+x+2+x+4+x+6=0$

Hence, this is the equation

b.

To determine

To solve the equation

Answer to Problem 2.3.3P

-3, -1, 1, 3 are the integers.

Explanation of Solution

Given information:

  $x+x+2+x+4+x+6=0$

Calculation:

Solving the equation,

  $4x+12=0$

Dividing by 4,

  $x+3=0$

Hence, 4 consecutive integer is

  $x=-3$

Substituting the value, for second integer,

  $=-3+2$

On solving,

  $=-1$

Substituting the value, for third integer,

  $=-3+4$

On solving,

  $=1$

Substituting the value, for fourth integer,

  $=-3+6$

On solving,

  $=3$

Hence, -3, -1, 1, 3 are the integers.