Quandaries
and Queries 

Joga Level: 12th grade Teacher Problem: What is nth term: First sequence: Second sequence: Hello, I am having a hard time finding the nth term for both of these sequences. Could you please help me. Also could you tell me how you got the answers for both sequences. Thank you 

Hi Joga, Do you see the pattern in the first sequence?
If you call the terms a_{1}, a_{2},
a_{2},... then this is 
a_{1}  2  a_{1} 
a_{2}  a_{1} + 2  a_{1} + 2 
a_{3}  a_{2} + 3  a_{1} + 2 + 3 
a_{4}  a_{3} + 4  a_{1} + 2 + 3 + 4 
a_{5}  a_{4} + 5  a_{1} + 2 + 3 + 4 + 5 
