Geometric sequence 5

About members of geometric sequence we know:

3a5:a3=27:25

7a3+5a7=1:564


Calculate a1 (first member) and q (common ratio or q-coefficient)


Correct result:

q =  0.6
a1 =  204.84658

Solution:

3a5:a3=27:25 3a1q4:(a1q2)=27:25 3q2=27/25 q2=9/25 q=±3/5 q1=3/5 q2=3/5  
7a3+5a7=1:564 7a1q2+5a1q6=1:564 a1(7q2+5q6)=1:564  a1=564:(63/25+729/3125) a1=204.84658



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