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Mathematics, 18.10.2021 14:00 muhammadcorley123456

Given 'n' is a positive integer and 'r' is a real number which r > 1 Given the sequence {a_n} corresponding to:
Answer the following questions:
( 1 )
Write a1,a2,a3 in term of r.
( 2 )
When n β‰₯ 2, write a_n in term of r.
( 3 )
Evaluate the sum of Infinite Series a1+a2+...+an+...
Thanks in advance!


\displaystyle \large{a_1r + a_2 {r}^{2}  + ... + a_n {r}^{n}  =  {( - 1)}^{n} }

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Given 'n' is a positive integer and 'r' is a real number which r > 1 Given the sequence {a_n} c...
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