document.write( "Question 1140444: Consider the sequence of numbers : 2;5;2;9;2;13;2;17;.....\r
\n" ); document.write( "\n" ); document.write( "Calculate the sum of the first 100 terms of the sequence \r
\n" ); document.write( "\n" ); document.write( "Please help me I begg.
\n" ); document.write( "

Algebra.Com's Answer #760998 by MathTherapy(10557)\"\" \"About 
You can put this solution on YOUR website!
Consider the sequence of numbers : 2;5;2;9;2;13;2;17;.....\r
\n" ); document.write( "\n" ); document.write( "Calculate the sum of the first 100 terms of the sequence \r
\n" ); document.write( "\n" ); document.write( "Please help me I begg.
\n" ); document.write( "
2 is the ODD term in the sequence, and since there are 50 of them, the sum of the ODD terms (Terms 1,3,5,7,9, etc.) is 100 (50 * 2)
\n" ); document.write( "The EVEN terms (Terms 2,4,6,8,10, etc.) starts with 5 and since there are 50 of them, we use the following formula for the sum of an AP: \"matrix%281%2C3%2C+S%5Bn%5D%2C+%22=%22%2C+%28n%2F2%29%282a%5B1%5D+%2B+%28n+-+1%29d%29%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+S%5B50%5D%2C+%22=%22%2C+%2850%2F2%29%282%285%29+%2B+%2850+-+1%294%29%29\" ------ Substituting 50 for n (number of terms), \"matrix%281%2C7%2C+5%2C+for%2C+a%5B1%5D%2C+or%2C+the%2C+1%5E%28st%29%2C+term%29\", and 4 for d (common difference)
\n" ); document.write( "
\n" ); document.write( "Sum of 1st 100 terms of sequence: \n" ); document.write( "
\n" );