Whakaoti i te (1/9alpha+1/5q)*alpha^2/28

Aromātai

Whakaroha

Pātaitai

5 raruraru e ōrite ana ki:

Ngā Raru Ōrite mai i te Rapu Tukutuku

https://math.stackexchange.com/questions/1442709/convergence-of-sequence-of-the-form-a-n-frac1n-alpha-cdots-frac1

https://socratic.org/questions/how-do-you-divide-6-02-10-23-1-5-10-12

https://math.stackexchange.com/questions/1047080/prove-1-frac14-frac19-cdots-frac1n2-2-frac1n

https://math.stackexchange.com/questions/30409/generalization-of-the-series-for-frac-pi26-is-there-a-more-elementary-p

https://math.stackexchange.com/questions/1495204/on-the-binomial-series-1-frac18n1-2-where-n-is-an-even-perfect-nu

Tohaina

Kua tāruatia ki te papatopenga

\left(\frac{5q}{45q\alpha }+\frac{9\alpha }{45q\alpha }\right)\times \frac{\alpha ^{2}}{28}

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 9\alpha me 5q ko 45q\alpha . Whakareatia \frac{1}{9\alpha } ki te \frac{5q}{5q}. Whakareatia \frac{1}{5q} ki te \frac{9\alpha }{9\alpha }.

\frac{5q+9\alpha }{45q\alpha }\times \frac{\alpha ^{2}}{28}

Tā te mea he rite te tauraro o \frac{5q}{45q\alpha } me \frac{9\alpha }{45q\alpha }, me tāpiri rāua mā te tāpiri i ō raua taurunga.

\frac{\left(5q+9\alpha \right)\alpha ^{2}}{45q\alpha \times 28}

Me whakarea te \frac{5q+9\alpha }{45q\alpha } ki te \frac{\alpha ^{2}}{28} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

\frac{\alpha \left(5q+9\alpha \right)}{28\times 45q}

Me whakakore tahi te \alpha i te taurunga me te tauraro.

\frac{\alpha \left(5q+9\alpha \right)}{1260q}

Whakareatia te 28 ki te 45, ka 1260.

\frac{5\alpha q+9\alpha ^{2}}{1260q}

Whakamahia te āhuatanga tohatoha hei whakarea te \alpha ki te 5q+9\alpha .

\left(\frac{5q}{45q\alpha }+\frac{9\alpha }{45q\alpha }\right)\times \frac{\alpha ^{2}}{28}

\frac{5q+9\alpha }{45q\alpha }\times \frac{\alpha ^{2}}{28}