Question

If n is an odd integer,write a equation that can be used to find three consecutive odd integers whose sum is 21? (ALGEBRA 1)

Answer 1

An expression give the sum of three consecutive odd integers which adds up to 21 is ;

• 3n + 5 = 21

Given that :

• n is an odd integer

• Recall that odd integers have a difference of two between each consecutive values.

• Such that consecutive odd integers from 1 can be written as ; 1, 3, 5, 7, 9, 11,...

• The equation can be written in the form :

• n ____(1)
• n + 2 _ (2)
• n + 4 __(3)

• Sum of the three integers = 21

Expressing as an equation :

• (1) + (2) + (3) = 21
• n + (n + 2) + (n + 3) = 21
• 3n + 5 = 21

Therefore, the expression to obtain the sum of three consecutive odd integers to give 21 is:

• 3n + 5 = 21

Learn more :https://brainly.com/question/18109354