SOLUTION: Hello, can anyone assist me with these two questions on series and sequences? I am very frustrated: 1) Is 207 a member of the sequence 3,7,11,...? 2) Find the first term of t

Algebra ->  Sequences-and-series -> SOLUTION: Hello, can anyone assist me with these two questions on series and sequences? I am very frustrated: 1) Is 207 a member of the sequence 3,7,11,...? 2) Find the first term of t      Log On


   



Question 429008: Hello, can anyone assist me with these two questions on series and sequences? I am very frustrated:
1) Is 207 a member of the sequence 3,7,11,...?
2) Find the first term of the sequence -7,-5,-3,... which is greater than 400.
Thank you very much!

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
1. If the sequence is arithmetic, then we can say that it includes the positive integers congruent to 3 modulo 4. Since 207 is equivalent to 3 modulo 4, then 207 is in the sequence.

2. This sequence contains all of the (sufficiently large) odd numbers, so 401 is the first term that satisfies.