Need help with 13, 14 , 15 , 16 , 17 , 18 , 19 , 20 , 22 ( just need a brief explanation and indicate which option is the correct answer with the problem number). Thanks

Determine if the sequence {an } converges 4. converges with limit = when non an = (n - 2)5n' 5. converges with limit = and if it does, find its limit 013 10.0 points 1. limit = 10 Determine whether the sequence {an } con- 2. sequence diverges 3. limit = 1 verges or diverges when 4. limit = e 10 n2 2n2 + 5 5. limit = es an 5n + 4 n +1 6. limit = 6 e-10 and if it does, find its limit 016 10.0 points 1. the sequence diverges Determine whether the sequence {an } con- verges or diverges when 2. limit = an 3. limit = 15 and if it converges, find the limit. 4. limit = 0 1. converges with limit = 0 5. limit = 2. converges with limit = 1 014 10.0 points 3. converges with limit = 5 Determine if the sequence {an } converges, and if it does, find its limit when 4. diverges 7n + (-1)2 an 2n + 2 5. converges with limit = 6 1. converges with limit = 4 017 10.0 points 2. sequence does not converge Determine whether the sequence {an } con- verges or diverges when 3. converges with limit : an = (1)-In n2+9 4. converges with limit = and if it converges, find the limit. 5. converges with limit = 1. converges with limit = 015 10.0 points 2. sequence diverges3. converges with limit = -9 4. does not converge 1. converges with limit = 9 5. converges with limit = 5. converges with limit = 0 020 10.0 points Which of the following sequences converge? 6. converges with limit = 5n A. 6n + 4 018 10.0 points B. [ 4en + 3) Determine whether the sequence {an } con- An + 3 verges or diverges when C. n + 8 4+ 5en an = (-1)" 7n +6 1. none of them 2. B and C only and if it does, find its limit. 3. A, B, and C 4. C only 1. limit = 0 5. A only 6. B only 7. A and B only 2. limit = 8. A and C only 3. sequence diverges 021 10.0 points Find the sum of the finite series 4. limit = 5 .5 5.52 5.57 7 72 +...+ 5. limit = = 77 019 10.0 points 1. sum = Determine if the sequence {an} converges when 2. sum = (2n + 1)! an 5n2(2n - 1)! and if it converges, find the limit. 3. sum = 5( 1. converges with limit = 4. sum = 2. converges with limit = 5. sum 3. converges with limit = 022 10.0 pointsIf the n' partial sum of an infinite series is An2 - 1 Sn = n2 +3 what is the sum of the series? 1. sum = 4 2. sum = 3. series diverges 4. sum =-1 5. sum = 09/ M