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How do i do this? 1+3+5+7+...+101

User Hmmftg
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2 Answers

5 votes
Total numbers from pattern=51
First number+last number is 1+101=102
second number+second last number is 3+99=102.
This means that we can form pairs that make up 102.
Number of pairs=50/2=25
The remaining middle number is 26
Total value of pair=25×102
Total sum of pattern=25×102+26=
User Adrian McCarthy
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8.2k points
3 votes
Hello,

Number of terms in 1+3+5+7+...+101
nb=(101-1)/2+1=51

Sum=((1+101)*51)/2=51²=2601


User Fabis
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