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<p><span style="color: #003300;"><strong>En la progressió aritmètica a<sub>n</sub>, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»a«/mi»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»i_«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/msub»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»t_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»i«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«msub mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»a«/mi»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»i_«/mi»«/mrow»«/msub»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»t_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»2«/mn»«/mstyle»«/math».</strong></span></p> <p><span style="color: #003300;"> </span></p> <p><span style="color: #003300;"><strong>Calcula a</strong><sub>1</sub><strong>: </strong>{1:SA: ~=#a_1}</span></p> <p><span style="color: #003300;"> </span></p> <p><span style="color: #003300;"><strong>Calcula a</strong><sub>#i_3</sub><strong>: </strong>{1:SA: ~=#a_3}</span></p> <p><strong><span style="color: #800080;"> </span></strong></p>
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<p><span style="color: #0000ff;"><strong> <span style="color: #0000ff;"><span style="color: #0000ff;"><strong>Entre els dos termes, hi ha #i_2 - #i_1 = #i diferències que valen #D. Es pot doncs trobar quant val una diferència, i després el primer terme.</strong></span></span></strong></span></p> <p> </p> <p> </p> <p><span style="color: #0000ff;"><strong>a<sub>#i_1</sub> = #t_1 està a #k diferències de a<sub>1</sub>; per a trobar a<sub>1</sub> cal fer: #t_1 <span style="font-size: medium;">-</span> #k · d.</strong></span></p> <p> </p> <p> </p> <p> </p> <p><span style="color: #0000ff;"><strong>Després es calcula a<sub>#i_3</sub> amb la fórmula: a<sub>n</sub> = a<sub>1</sub> + (n-1)d, amb a1 = #a_1, n = #i_3 i d = #d</strong></span></p> <p> </p>
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Thursday, 23 August 2018, 11:09 AM
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