Determine 3948

Determine the quotient and the first member of GP if a3 = 0.52, and a1 + a2 = 0.39.

Correct answer:

q1 =  2
q2 =  -0.6667
a1 =  0.13
b1 =  1.17

Step-by-step explanation:

a1+a1q=0.39 a1(1+q) = 0.39 a1 = 0.39/(1+q) a1 q2 = 0.52 0.39/(1+q) q2 = 0.52 q2 = (1+q) 0.52/0.39 q2=(1+q) 0.52/0.39  q2=(1+q) 0.52/0.39 q21.333q1.333=0  a=1;b=1.333;c=1.333 D=b24ac=1.333241(1.333)=7.1111111111 D>0  q1,2=2ab±D=21.33±7.11 q1,2=0.666667±1.333333 q1=2 q2=0.666666667 q1=2

Our quadratic equation calculator calculates it.

a1=0.39/(1+q1)=0.39/(1+2)=10013=0.13 a2=q1 a1=2 0.13=5013=0.26 a3=q1 a2=2 0.26=2513=0.52 s=a1+a2=0.13+0.26=10039=0.39 a1=0.13
b1=0.39/(1+q2)=0.39/(1+(0.6667))=100117=110017=1.17 b2=q2 b1=(0.6667) 1.17=5039=0.78 b3=q2 b2=(0.6667) (0.78)=2513=0.52 s=b1+b2=1.17+(0.78)=10039=0.39 b1=1.17

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