.What is #x# if the sequence #1,5, 2x+3# ....is an arithmetic sequence?

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Answer 1 · 2016-07-20T22:14:35

#x =3#

If the sequence is arithmeic, then there is common difference between the consecutive terms.

#d = T_3 -T_2 = T_2-T_1#

#(2x+3)-5 = 5-1" we have an equation - solve it"#

#2x = 4-3+5#

#2x = 6#

#x = 3#

The sequence would be

#1, 5, 9# There is a common difference of 4.