document.write( "Question 1007387: John does 10 pushups on the first day of a 30-day month, and then increases the number of pushups by 3 pushups a day. How many pushups has he done in total by the end of the month? \n" ); document.write( "
Algebra.Com's Answer #623306 by tiffany222(56)![]() ![]() ![]() You can put this solution on YOUR website! To find sum of an arithmetic sequence use this formula: \n" ); document.write( "Sn = n/2 (a1 + an) \n" ); document.write( "Known information: \n" ); document.write( "n = 30, a1 = 10, d = 3 \n" ); document.write( "To find an (last term of sequence), use this formula: \n" ); document.write( "an = a1 + (n-1)d \n" ); document.write( "a30 = 10 + (30-1)(3) \n" ); document.write( "a30 = 10 +87 \n" ); document.write( "a30 = 97 \n" ); document.write( "Substitute into sum formula: \n" ); document.write( "Sn = n/2 (a1 + an) \n" ); document.write( "S30 = 30/2 (10 + 97) \n" ); document.write( "S30 = 15(107) \n" ); document.write( "S30 = 1605\r \n" ); document.write( "\n" ); document.write( "Final Answer: 1605 pushups \n" ); document.write( " \n" ); document.write( " |