Difference 81849

Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half.

Correct answer:

a1 =  9
a2 =  6
a3 =  3
a4 =  1.5

Step-by-step explanation:

a2=a1+d a3=a2+d d=3 q=1/2=21=0.5 a3=q a2 a4=q a3  a2=a1+d a3=a2+d a3=q a2 a2=a1+(3) a3=a2+(3) a3=0.5 a2  a1a2=3 a2a3=3 0.5a2a3=0  Row30.5 Row2Row3 a1a2=3 a2a3=3 0.5a3=1.5  a3=0.51.5=3 a2=3+a3=3+3=6 a1=3+a2=3+6=9  a1=9 a2=6 a3=3
a4=q a3=0.5 3=1.5

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