Question

The sum of 3 consecutive odd numbers is 51. What is the second number in this sequence?

Answer 1

$2n+1+2n+3+2n+5=51\\ 6n+9=51\\ 6n=42\\ n=7\\\\ 2n+3=2\cdot7+3=17$

Answer 2

The three consecutive odd numbers are 15, 17 and 19. Hence, the second number in this sequence is 17.

Given that the sum of 3 consecutive odd numbers is equal to 51.

What are odd numbers?

Odd numbers are whole numbers that cannot be divided exactly into pairs.

Let the odd number be ‘x’. Then the next consecutive odd number becomes ‘x + 2’ and the next term becomes x + 2 + 2 = ‘x + 4’.

Now, x + x + 2 + x + 4 = 51

⇒3x + 6 = 51

⇒x=15

So, x+2=17 and x+4=19

The three consecutive odd numbers are 15, 17 and 19. Hence, the second number in this sequence is 17.

To learn more about the odd numbers visit:

https://brainly.com/question/24158168.

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