AP 6

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

Result

a =  14
a2 =  16
a3 =  18
a4 =  20
a5 =  22

Solution:


(a+d) – (a+2d) + (a+4d) = 20
a + (a+5d) = 38

a+3d = 20
2a+5d = 38

a = 14
d = 2

Calculated by our linear equations calculator.
a2=a+d=16a_{2}=a+d=16
a3=a2+d=18a_{3}=a_{2}+d=18
a4=a3+d=20a_{4}=a_{3}+d=20
a5=a4+d=22a_{5}=a_{4}+d=22

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