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Question Number 209718 by Ismoiljon_008 last updated on 19/Jul/24

Answered by mr W last updated on 19/Jul/24

a_n =(1/(n!×(n+2)))=(1/((n+1)!))−(1/((n+2)!))  Σ_(n=1) ^(2023) a_n =((1/(2!))−(1/(3!)))+((1/(3!))−(1/(4!)))+...+((1/(2024!))−(1/(2025!))              =(1/2)−(1/(2025!))  ⇒C)

an=1n!×(n+2)=1(n+1)!1(n+2)!2023n=1an=(12!13!)+(13!14!)+...+(12024!12025!=1212025!C)

Commented by Ismoiljon_008 last updated on 19/Jul/24

   thank you Mr W     I appreciate you

thankyouMrWIappreciateyou

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