Substitute n=1, 2, 3, 4, 5 and write the first five terms of the sequence \left\{\frac{(-1)^{n-1}x^{2n-1}}{(2n-1)!}\right\}

pancha3

pancha3

Answered question

2021-05-28

Substitute n=1, 2, 3, 4, 5 and write the first five terms of the sequence
{(1)n1x2n1(2n1)!}

Answer & Explanation

Szeteib

Szeteib

Skilled2021-05-29Added 102 answers

{(1)n1x2n1(2n1)!}
{(1)11x2(1)1(2(1)1)!}=(1)0x1(1)!=x
{(1)21x2(2)1(2(2)1)!}=(1)1x3(3)!=x36
{(1)31x2(3)1(2(3)1)!}=(1)2x5(5)!=x5120
{(1)41x2(4)1(2(4)1)!}=(1)3x7(7)!=x75040
{(1)51x2(5)1(2(5)1)!}=(1)4x9(9)!=x9362880

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