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Tems11 [23]
3 years ago
12

Find a formula for the sun S of any three consecutive odd number?​

Mathematics
2 answers:
bixtya [17]3 years ago
8 0

Answer:

Let first no. be x

Therefore,

2nd no. is x+1

Third no. is x+2

<em><u>SUM</u></em><em><u> </u></em><em><u>OF</u></em><em><u> </u></em><em><u>NO</u></em><em><u>.</u></em><em><u>'</u></em><em><u>s</u></em><em><u>=</u></em><em><u>x</u></em><em><u>+</u></em><em><u>x</u></em><em><u>+</u></em><em><u>1</u></em><em><u>+</u></em><em><u>x</u></em><em><u>+</u></em><em><u>2</u></em>

<em><u>S</u></em><em><u>=</u></em><em><u>3x</u></em><em><u>+</u></em><em><u>3</u></em>

<em><u>S</u></em><em><u>=</u></em><em><u>3</u></em><em><u>(</u></em><em><u>x</u></em><em><u>+</u></em><em><u>1</u></em><em><u>)</u></em>

Aloiza [94]3 years ago
7 0

Step-by-step explanation:

Let the first number be 2k-1, where k is an postive integer.

Then the sum S is given by

S=(2k-1)+(2k+1)+(2k+3)=6k+3

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