anonymous
  • anonymous
An= 14an-1 - 59an-2+ 70an-3 r^3-14r^2+59r-70 r= 2, 5, 7 Ao= 9 A1=32 A2= 144
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Loser66
  • Loser66
I don't resolve your problem, just continue.
Loser66
  • Loser66
since you have r =2, 5, 7 , the answer form will have the form of \[A_n= C_12^n+C_25^n +C_37^n\]you have to plug value of A to the form to calculate value of C's \[A_0=9 --> C_1*2^0+C_2*5^0+C_3*7^0=9\\C_1+C_2+C_3=9(equation1)\] \[A_1=32---> C_1*2^1+C_2*5^1+C_3*7^1=32\\2C_1+5C_2+7C_3=32(equation2)\] \[A_3=144---> C_1*2^3+C_2*5^3+C_3*7^3=144\\8C_1+125C_2+343C_3=144(equation3)\] from the equations 1,2,3 you solve for \[C_1,C_2,C_3\] then plug them back to \[A_n= C_12^n+C_25^n+C_37^n\] That's the final answer. Good luck. generating function needs time to be solved

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