document.write( "Question 911164: 6) For each of the following sequences, write the next 3 terms. If arithmetic or
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document.write( "geometric, find t(n).
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document.write( "a) 4, 9, 14, 19, … b) 24, 12, 6, 3, ….
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document.write( "c) 91, 82, 73, 64, ….. d) 1, 4, 9, 16, …..
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document.write( "e) -9.5, -7, -4.5, -2, … f) -4, 8, -16, 32, ….
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document.write( "7) Find t(100) for all the arithmetic sequences from problem 6. \n" );
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Algebra.Com's Answer #552876 by ewatrrr(24785)![]() ![]() You can put this solution on YOUR website! a) 4, 9, 14, 19,24,29,34... Arithmetic sequence: d = 5, t(n) = 4 + 5(n-1) simplify.. 5n-1 \n" ); document.write( "b) 24, 12, 6, 3, 3/2, 3/4,3/8... . Geometric sequence: r = 1/2, t(n) = 24(1/2)^(n-1) \n" ); document.write( "c) 91, 82, 73, 64, ….. Arithmetic sequence: d = -9, t(n) = 91 -9(n-1)= 100-9n \n" ); document.write( "d) 1, 4, 9, 16, ….. t(n) = n^2 \n" ); document.write( "e) -9.5, -7, -4.5, -2, … Arithmetic sequence: d = 2.5, t(n) = -9.5 +2.5(n-1) = 2.5n -12 \n" ); document.write( "f) -4, 8, -16, 32, …. Geometric sequence: r = -1/2, t(n) = -4(-1/2)^(n-1) \n" ); document.write( "7) Find t(100) for all the arithmetic sequences from problem 6. \n" ); document.write( "plug and play \n" ); document.write( "t(n) = 5n-1 \n" ); document.write( "t(n) = 24(1/2)^(n-1) \n" ); document.write( "t(n) = 100-9n \n" ); document.write( "t(n) = n^2 \n" ); document.write( "t(n) = 2.5n -12 \n" ); document.write( "t(n) = -4(-1/2)^(n-1) \n" ); document.write( " |