# Mathematics : Arithmetic Sequence

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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 -

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 -

2,10,18,26

• Mathematics : Arithmetic Sequence -

a1= 2
d=8
n=4

a5=2+(5-1)8
a5=2+32
a5=34

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