This is a series that I could use some help with solving. Could I get some help solving this series please? Thanks much!!!

Question

Answer 1

∑_k=11^∞(4k - 10/3k + 20)^k_;

4k - 10/3k + 1 > 1; 4k - 10 > 3k + 20; k > 30

So lim k→∞ (4k - 10/3k + 20)^k = ∞, gecause from k = 31 4k- 10/3k +m 20 > 1

So, this series diverges