Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. 27 81 243 Assume the first term is a1Given the series: DO 1 k 6 k + 1] K= does this series converge or diverge? O converges O diverges If the series converges, find the sum of the series: DO 1 X k +1 (If the series diverges, just leave this second box blank.)Given the series: does this series converge or diverge? '1'; converges 53' diverges If the series converges, find the sum of the series: or: 1 I: Z ( 7) [If the series diverges, just leave this second box blank.) Test the series below for convergence using the Ratio Test. n + 3 4in + 1 The limit of the ratio test simplifies to lim If(n) | where n+ 00 f(n) = The limit is: (enter oo for infinity if needed) Based on this, the series Select an answerFind T's(x): Taylor polynomial of degree 5 of the function f(x) = cos(r) at a = 0. Ts(I) Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.002388 of the right answer. Assume for simplicity that we limit ourselves to Ja|