Three members AP

There are arithmetic sequence x + 3, 2x + 3, 5x - 3. If the common difference is 3, find x.

Correct answer:

x =  3

Step-by-step explanation:

a1=x + 3 a2= 2x + 3 a3= 5x  3 d=3  a2=a1+d a3=a2+d  2x+3=x+3+d 2x+3=x+3+3  2 x+3=x+3+3  x=3  x=13=3  x=3   Verifying Solution:  a1=x+3=3+3=6 a2=2 x+3=2 3+3=9 a3=5 x3=5 33=12 a4=a3+d=12+3=15 a5=a4+d=15+3=18  d1=a2a1=96=3 d2=a3a2=129=3

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