SOLUTION: ... 23, 25, 27, 29... which expression describes the sequence? A. 3x - 3 B. 3 + 2x C. 2x - 2 D. x squared + 1

Algebra ->  Sequences-and-series -> SOLUTION: ... 23, 25, 27, 29... which expression describes the sequence? A. 3x - 3 B. 3 + 2x C. 2x - 2 D. x squared + 1      Log On


   

Question 277627: ... 23, 25, 27, 29... which expression describes the sequence?
A. 3x - 3
B. 3 + 2x
C. 2x - 2
D. x squared + 1
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
Try solving the equations for each term of the sequence.
Eg.
a. 3x-3=23? -> 3x=26 -> x=26/3 Hence x is not a natural number
b. 3+2x=23? -> 2x=20 -> x=10 Hence this is a possible solution
c. 2x-2=23? -> 2x=25 -> x=25/2 Hence x is not a natural number
d. x^2+1=23 -> x^2=22 -> x is irrational and hence not a natural number.

This gives (b) as the only possible solution as we define sequences such that terms are generated by natural numbers. You can easily check the remaining, given terms of the sequence.