Find a formula for the sun S of any three consecutive odd number?
2 answers:
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>
Step-by-step explanation:
Let the first number be 2k-1, where k is an postive integer.
Then the sum S is given by

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