Posted by **Charmian** on Sunday, September 7, 2008 at 6:01am.

Consider the arithmetic sequence x+2, 18-x, 14+x,...

a) Find the value of x.

b) Find the general term of the arithmetic sequence.

- Mathematics : Arithmetic Sequence -
**Damon**, Sunday, September 7, 2008 at 6:25am
in general an = a1 + (n-1)d

d = (18-x)-(x+2) = (14+x)-(18-x)

d = 16 -2x = -4 +2x

so

4 x = 20 and x = 5

then d = -4 + 2x = 6

so

an = a1 + (n-1)6

if the first term is x+2 = 7

then the sequence is

an = 7+(n-1)6

- Mathematics : Arithmetic Sequence -
**Anonymous**, Monday, October 13, 2014 at 11:49am
2,10,18,26

- Mathematics : Arithmetic Sequence -
**nikoru**, Tuesday, August 2, 2016 at 7:07am
a1= 2

d=8

n=4

a5=2+(5-1)8

a5=2+32

a5=34

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