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Unit 05: Miscellaneous Series (Solutions)
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s of the arithmetico-geometric series. * Define method of differences. * Use this method to find the sum of $n$ terms of the series whose differences of the
Question 9 Review Exercise @math-11-kpk:sol:unit05
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ries $3+7+13+21+31+\ldots$ ====Solution==== Using method of differences to compute the sum of the given se... series $2+5+14+41+\ldots$ ====Solution==== Using method of differences to compute the sum of the given se
Question 6, Exercise 1.2 @math-11-kpk:sol:unit01
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1}}||{{z}_{2}}|=R.H.S. \end{align} **Alternative Method**\\ We know $|z|^2=z\bar{z}$, so we have \begin{a
Question 3 Exercise 5.3 @math-11-kpk:sol:unit05
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4+10+18+28+40+\ldots$ ====Solution==== We use the method of difference as: \begin{align} & a_2-a_1=10-4=6
Question 8, Exercise 10.1 @math-11-kpk:sol:unit10
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\right)}\\ &=R.H.S.\end{align} ===Alternative Method=== \begin{align}L.H.S.&=\tan\left( \dfrac{\pi }{4