Which arithmetic sequence is represented by the expression 3n+1 , where n represents the position of a term in the sequence?
A.3,6,9,12,15,...
B.4,7,10,13,16,...
C.4,5,6,7,8,...
D.3,4,5,6,7,...
please help it is for a test and it is due tomorrow.
The arithmetic sequence represented by the expression 3n+1 , where n represents the position of a term in the sequence is B.4,7,10,13,16,...
check:
A.3,6,9,12,15,...
using the 4th term
first term, a = 3
4th term = 12
3n + 1
= 3(4) + 1
= 12 + 1
= 13
not applicable
B. 4,7,10,13,16,...
using the 4th term
first term, a = 4
4th term = 13
3n + 1
3(4) + 1
= 12 + 1
= 13
applicable
C. 4,5,6,7,8,...
using the 4th term
first term, a = 4
4th term = 7
3n + 1
= 3(4) + 1
= 12 + 1
= 13
not applicable
D. 3,4,5,6,7,...
using the 4th term
first term, a = 3
4th term = 6
3n + 1
= 3(4) + 1
= 12 + 1
= 13
not applicable
Therefore, arithmetic sequence represented by the expression 3n+1 , where n represents the position of a term in the sequence is B. 4, 7, 10, 13, 16,...
