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17-12-2016
Mathematics

contestada

Find the 11th partial sum of the summation of negative 7i plus 22, from i equals 1 to infinity.

∞
∑ -7+22?
i=1

Respuesta :

17-12-2016

I think you mean,

[tex]\sum_{i=1}^{\infty}(7i+22)[/tex]

You can use the usual formula,

[tex]S_{k}=\frac{k}{2}(a_1+a_k)[/tex]

That in this case is,

[tex]S_{11}=\frac{11}{2}(29+99)=704[/tex]

Where I have used,

[tex]a_k=7\cdot k +22[/tex]

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