# AP 6

Calculate the first five items of an arithmetic sequence if it is given:
a2 – a3 + a5 = 20
a1 + a6 = 38

Correct result:

a =  0
a2 =  0
a3 =  0
a4 =  0
a5 =  0

#### Solution:

System of equations are non-linear.
The equations have the following integer solutions:
(a+d) – (a+2*d) + (a+4*d) = 20
a + (a+5*d) = 38

Number of solutions found: 1
##### a1=14, d1=2

Our linear equations calculator calculates it.
$a_{2}=a+d=0$
$a_{3}=a_{2}+d=0$
$a_{4}=a_{3}+d=0$
$a_{5}=a_{4}+d=0$

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