Find the 8th term in the expansion of (2x - y)12. The sum of the first 20 terms of an arithmetic series is 45. The sum of the first 40 terms of the series is 290. Find the first term and the common difference of the series. Hence, find the seventh term of the series. Find the 9th term and the sum of the first 9th term of the following geometric sequence. 7, -14, 28, ...

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A: If L-1Fs=ft, then L-1Fs-a=eatft. It is known that: L-1as2+a2=sinat and L-1n!sn+1=tn.

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