b8 - ?
b9 - ?
b4 = 125
b6 = 5
[tex]b4=b1*q^{3}----- > b1=\frac{b4}{q^{3}} \\ b6= b1*q^{5}----- > b1=\frac{b6}{q^{5}} \\b1=b1\\\\\frac{b4}{q^{3}}=\frac{b6}{q^{5}}\\\\\frac{125}{q^{3}}=\frac{5}{q^{5}}\\\\125*q^{5} =5*q^{3} \\\\q^{5} =\frac{5*q^{3} }{125} \\\\q^{5} =\frac{q^{3} }{25} \\\\25*q^{5} =q^{3} \\\\25=\frac{q^{3} }{q^{5} } \\\\25 = q^{-2} \\q= -0.2;\\\\b1 =\frac{b4}{q^{3} } = \frac{125}{-0.2^{3} }=-15625\\ \\b8 = -15625 * (-0.2^{7}) = 0.2\\b9 = b8*(-0.2) = 0.2*(-0.2) = - 0.04[/tex]
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Answers & Comments
b8 - ?
b9 - ?
b4 = 125
b6 = 5
[tex]b4=b1*q^{3}----- > b1=\frac{b4}{q^{3}} \\ b6= b1*q^{5}----- > b1=\frac{b6}{q^{5}} \\b1=b1\\\\\frac{b4}{q^{3}}=\frac{b6}{q^{5}}\\\\\frac{125}{q^{3}}=\frac{5}{q^{5}}\\\\125*q^{5} =5*q^{3} \\\\q^{5} =\frac{5*q^{3} }{125} \\\\q^{5} =\frac{q^{3} }{25} \\\\25*q^{5} =q^{3} \\\\25=\frac{q^{3} }{q^{5} } \\\\25 = q^{-2} \\q= -0.2;\\\\b1 =\frac{b4}{q^{3} } = \frac{125}{-0.2^{3} }=-15625\\ \\b8 = -15625 * (-0.2^{7}) = 0.2\\b9 = b8*(-0.2) = 0.2*(-0.2) = - 0.04[/tex]