Question

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

Answer 1

51 / 3 = 17

the middle number is 17

15 + 17 + 19 = 51

Answer 2

Answer: 42

Step-by-step explanation:

Call the first number in the sequence xx.

Hint #22 / 8

The next even number in the sequence is x + 2x+2

Hint #33 / 8

The sum of the 66 consecutive even numbers is:

x+ (x + 2)+ (x + 4)+ (x + 6)+ (x + 8)+ (x + 10) = 270x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270

Hint #44 / 8

6x + 30= 2706x+30=270

Hint #55 / 8

6x = 2406x=240

Hint #66 / 8

x = 40x=40

Hint #77 / 8

Since xx is the first number, x + 2x+2 is the second even number.

Hint #88 / 8

Thus, the second number in the sequence is 4242.

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