document.write( "Question 1030772: Hi. this lesson is really confusing me and I need help with it. These questions are confusing me. Please help me solve these problems. \r
\n" ); document.write( "\n" ); document.write( "For questions 3-5, find the first 4 terms and the 8th term of the recursively-defined sequence.\r
\n" ); document.write( "\n" ); document.write( "3. b1 = 2 and bk+1 = 3bk, for k>0\r
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\n" ); document.write( "\n" ); document.write( "4. v1 = 0.75 and vn = (-2)vk-1 for n>1\r
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\n" ); document.write( "\n" ); document.write( "5. c1 = 2, c2 = -1, and ck+2 = ck + ck+1 for k>0\r
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\n" ); document.write( "\n" ); document.write( "6. Identify the sequence {-2, 2, -2, 2 ...} as arithmetic or geometric. Then find the common difference or ratio as appropriate.\r
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\n" ); document.write( "\n" ); document.write( "7. Identify the sequence {-5, -2, 1, 4 ...} as arithmetic or geometric. Then find the common difference or ratio as appropriate.\r
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\n" ); document.write( "\n" ); document.write( "8. The third and sixth terms of a geometric sequence are -75 and -9375 respectively. Find the first term, the common ratio, and an explicit rule for the nth term.
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Algebra.Com's Answer #645612 by ikleyn(52788)\"\" \"About 
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\n" ); document.write( "Hi. this lesson is really confusing me and I need help with it. These questions are confusing me. Please help me solve these problems. \r
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\n" ); document.write( "\n" ); document.write( "For questions 3-5, find the first 4 terms and the 8th term of the recursively-defined sequence.\r
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document.write( "3.  b1 = 2 and bk+1 = 3bk, for k>0\r\n" );
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document.write( "    \"b%5B1%5D\" = 2;  \"b%5B2%5D\" = \"3%2Ab%5B1%5D\" = 3*2 = 6, . . . \r\n" );
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document.write( "    It is a geometric progression, first term 2, common ratio 3.\r\n" );
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document.write( "4. v1 = 0.75 and vn = (-2)vk-1 for k>1\r\n" );
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document.write( "   It is a geometric progression, first term 0.75, common ratio -2.\r\n" );
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document.write( "5. c1 = 2, c2 = -1, and ck+2 = ck + ck+1 for k>0\r\n" );
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document.write( "6. Identify the sequence {-2, 2, -2, 2 ...} as arithmetic or geometric.  Then find the common difference or ratio as appropriate.\r\n" );
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document.write( "   It is a GP with the common ratio  (-1).\r\n" );
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document.write( "7. Identify the sequence {-5, -2, 1, 4 ...} as arithmetic or geometric.  Then find the common difference or ratio as appropriate.\r\n" );
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document.write( "   It is an AP with the common difference  3.\r\n" );
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document.write( "8. The third and sixth terms of a geometric sequence are -75 and -9375 respectively.  \r\n" );
document.write( "   Find the first term, the common ratio, and an explicit rule for the nth term.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It looks like you know nothing about arithmetic and geometric progressions.\r
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\n" ); document.write( "\n" ); document.write( "Read the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Arithmetic progressions\r
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