AP 6

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

Correct answer:

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

Step-by-step explanation:

(a+d)−(a+2d)+(a+4d)=20 a+(a+5d)=38  (a+d)−(a+2⋅ d)+(a+4⋅ d)=20 a+(a+5⋅ d)=38  a+3d=20 2a+5d=38  a=14 d=2
a2=a+d=16
a3=a2+d=18
a4=a3+d=20
a5=a4+d=22

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