SOLUTION: Consider the following sequence of numbers: 2;4;2;7;2;10;2;13;... 1.3.1 If the sequence behaves consistently, write down the 12th term of the above sequence? 1.3.2 Calcula

Algebra ->  Sequences-and-series -> SOLUTION: Consider the following sequence of numbers: 2;4;2;7;2;10;2;13;... 1.3.1 If the sequence behaves consistently, write down the 12th term of the above sequence? 1.3.2 Calcula      Log On


   

Question 626918: Consider the following sequence of numbers:
2;4;2;7;2;10;2;13;...
1.3.1 If the sequence behaves consistently, write down the 12th term of the above sequence?
1.3.2 Calculate the sum of the first 50 terms of the sequence.
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
t%5B1%5D=2
t%5B2%5D=4
t%5B3%5D=2
t%5B4%5D=7
t%5B5%5D=2
t%5B6%5D=10
t%5B7%5D=2
t%5B8%5D=13

Thus, for n=1,2,3,...,etc. we can write t%5B2n-1%5D=2 and t%5B2n%5D=4%2B3%28n-1%29

Substitute n = 6, the 12th term of the sequence is t%5B12%5D=4%2B3%286-1%29=19

Substitute n = 25, the 12th term of the sequence is t%5B50%5D=4%2B3%2825-1%29=76