SOLUTION: What is the first of 100 consecutive odd integers whose sum is 100^100?

Question 1191256: What is the first of 100 consecutive odd integers whose sum is 100^100?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
What is the first of 100 consecutive odd integers whose sum is 100^100?
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Let the first term be  .


Then the 100-th term is  .


The average of the first and the 100-th term is   = .


The sum of this sequence must be  ,  which gives this equation


     = .


It implies   = .    ANSWER

Solved.

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    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
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