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5. For what value or values of

`a`

, if any, does the given series converge?

`\sum_(n=1)^(\infty ) (1)/(an+b),a>0,b>0`

6. Determine whether each series is convergent-or divergent. Carefully explain your reasoning. a)

`\sum_(n=1)^(\infty ) (1+3^(n))/(1+4*3^(n))`

b)

`\sum_(n=0)^(\infty ) (n-1)/(5\sqrt(n^(5))+1)`