document.write( "Question 1204442: Find the number of terms in an A.P, whose first term is 1, last term is 77 and the sum of terms is 507 \n" ); document.write( "
Algebra.Com's Answer #840683 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "n = number of terms\r
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\n" ); document.write( "\n" ); document.write( "Sn = sum of first n terms of arithmetic progression (AP)
\n" ); document.write( "Sn = (n/2)*(first term + nth term)
\n" ); document.write( "507 = (n/2)*(1 + 77)
\n" ); document.write( "507*2 = 78n
\n" ); document.write( "1014 = 78n
\n" ); document.write( "n = 1014/78
\n" ); document.write( "n = 13\r
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\n" ); document.write( "\n" ); document.write( "Answer: 13 terms
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