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

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Answer 1 · 2016-07-20T22:14:35

$x = 3$ $x =3$

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

$d = T_{3} - T_{2} = T_{2} - T_{1}$ $d = T_3 -T_2 = T_2-T_1$

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

$2 x = 4 - 3 + 5$ $2x = 4-3+5$

$2 x = 6$ $2x = 6$

$x = 3$ $x = 3$

The sequence would be

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

.What is xx if the sequence 1,5,2x+31,5, 2x+3 ....is an arithmetic sequence?