Question

Write an expression for the most apparent nth term of the sequence (Assume that n begins with 1) 1,4,7,10,13

Answer 1

 The answer is 2n * (-1)^(n + 1)

The numerator seems to be accelerated via 7 each and every time, so if it starts with the 1st term being one, it incredibly is secure to declare the nth numerator is 7^(n-a million) Likewise, the backside has a million, a million*2, a million*2*3, a million*2*3*4, and a million*2*3*4*5. This seems to be factorials, so we are in a place to declare the nth term interior the denominator is n! putting those mutually, the nth term is 7^(n-a million)/n!
I hope this helped God Bless!