Question

1. (5 Points) If ( a_{121}=47 ) and ( a_{146}=-28 ) are the ( 121^{ ext {st }} ) and ( 146^{ ext {th }} ) terms of an arithmetic sequence, what is ( a_{86} ), the ( 86^{ ext {th }} ) term? Show all work. 2. (5 Points) Find the generating function of ( left{frac{-2}{5}, frac{4}{7}, frac{-6}{9}, frac{8}{11}, frac{-10}{13}, frac{12}{15}, frac{-14}{17}, frac{16}{19}, frac{-18}{21}, frac{20}{23}, cdots ight} )

          1. (5 Points) If ( a_{121}=47 ) and ( a_{146}=-28 ) are the ( 121^{	ext {st }} ) and ( 146^{	ext {th }} ) terms of an arithmetic sequence, what is ( a_{86} ), the ( 86^{	ext {th }} ) term? Show all work.
2. (5 Points) Find the generating function of ( left{frac{-2}{5}, frac{4}{7}, frac{-6}{9}, frac{8}{11}, frac{-10}{13}, frac{12}{15}, frac{-14}{17}, frac{16}{19}, frac{-18}{21}, frac{20}{23}, cdots
ight} )

$1. (5 Points) If ( a121=47 ) and ( a146=-28 ) are the ( 121^ ext st ) and ( 146^ ext th ) terms of an arithmetic sequence, what is ( a86 ), the ( 86^ ext th ) term? Show all work. 2. (5 Points) Find the generating function of ( leftfrac-25, frac47, frac-69, frac811, frac-1013, frac1215, frac-1417, frac1619, frac-1821, frac2023, cdots ight )$

Added by Shazailah A.

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