document.write( "Question 976865: find a8 when a1 = -6, d=2. use the formula for the general term ( the n^th term ) of an arithmetic sequence to find the indicated term of the sequence with the given first term , a1 and common difference , d.\r
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document.write( "a. 10
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document.write( "b. 8
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document.write( "c. -20
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document.write( "d. -22\r
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document.write( "find the sum of the first 20 terms of the arithmetic sequence 5, 13, 21, 29\r
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document.write( "a. 1700
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document.write( "b. 1620
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document.write( "c. 1627
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document.write( "d. 165 \n" );
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Algebra.Com's Answer #598440 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Formula = a(n)= a(1) + (n - 1) d \n" ); document.write( "a(1) = -6 d = 2 \n" ); document.write( "a(8) = -6 + (8 - 1)2 \n" ); document.write( "a(8) = -6 + 14 \n" ); document.write( "a (8) = 8\r \n" ); document.write( "\n" ); document.write( "Find the Sum \n" ); document.write( "a(1) = 5: n = 20: d = 8\r \n" ); document.write( "\n" ); document.write( "a(n) = a(1) + (n - 1)d \n" ); document.write( "a(20) = 5 + (20 -1)8 \n" ); document.write( "a(20) = 5 + 152 \n" ); document.write( "a(20) = 157\r \n" ); document.write( "\n" ); document.write( "Sum formula = S(n) = n( a(1) + a(n))/2 \n" ); document.write( "Now, let's find the sum: \n" ); document.write( "s(20) = [20( 5 + 157)]/2 \n" ); document.write( "s(20) = 3240/2 = 1620 \n" ); document.write( "Both answers are 'b' \n" ); document.write( "Hope this helps:-)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |