1. The first five terms of the sequence do = 0 On+1 = 1+ 3d, are do = 0, a1= a3 = and a= 2. Consider the series ()*. It is a series with a = and r= Hence it is and its sum is 3. If we use the Taylor series Vitz= 1+1-8+5-... to find the Taylor series for the function f(r) = v1 + 2x centered at 0, the first four nonzero terms are /(x) = VI+2=_ + + -+... 4. The first four terms of the power series (-1)*2kit + .... 5. Consider the sequence 4, 6, 8, 10, 12,... . If {an ), denotes this sequence then ag = and the general term is an =