12.(1 pt) Determine the sum of the following series.
13.(1 pt) Match each of the following with the correct state-ment.A. The series is absolutely convergent.C. The series converges, but is not absolutely convergent.D. The series diverges.1.∞∑n=1(n+1)(62-1)n62n2.∞∑n=1(-7)nn63.∞∑n=1sin(4n)n24.∞∑n=1(-1)n√nn+105.∞∑n=1(-1)n4n+314.(1 pt) Consider the series∑∞n=1anwherean=(5n+4)n(-4n-2)nGenerated by the WeBWorK system c WeBWorK Team, Department of Mathematics, University of RochesterIn this problem you must attempt to use the Root Test to decidewhether the series converges.
L=limn→∞n|an|Enter the numerical value of the limit L if it converges, INF ifit diverges to infinity, MINF if it diverges to negative infinity, orDIV if it diverges but not to infinity or negative infinity.L=Which of the following statements is true?A. The Root Test says that the series converges absolutely.B. The Root Test says that the series diverges.C. The Root Test says that the series converges conditionally.D. The Root Test is inconclusive, but the series converges abso-lutely by another test or tests.E. The Root Test is inconclusive, but the series diverges by an-other test or tests.F. The Root Test is inconclusive, but the series converges condi-tionally by another test or tests.Enter the letter for your choice here:3