Convergent or divergent??

Question

1. 3/4 + 4/5 + 5/6 + 6/7 +...

2. 1/2 + 1/3 + 1/5 + 1/9 +...

3. 10/9 + 10/19 + 10/29 + 10/39 + 10/49 +...

4. 1/2 + 1/5 + 1/10 + 1/17+...

5. 1/2 - 2/9 + 3/28 - 4/65 +...

i already have my own answers...but i just want to compare and make sure that my answers are correct...in my previous homework, my scores are low that's why i want to pass this time...sOo please!...heLp!..thanks sOo mUch!

Answer 1

Both 1 and 3 diverge. 4 converges if each denominator is one more than a square. What are the sequences for the denominators in 2 and 5?