gianedemesa04 gianedemesa04

22-06-2019
Mathematics

contestada

What is the sum of the terms in the sequence
3, 6, 9, …, 99?

Respuesta :

konrad509 konrad509

22-06-2019

[tex]S_n=\dfrac{a_1+a_n}{2}\cdot n\\a_1=3\\d=3\\a_n=99\\n=?\\\\a_n=a_1+(n-1)\cdot d\\99=3+(n-1)\cdot 3\\3n-3=96\\3n=99\\n=33\\\\S_{33}=\dfrac{3+99}{2}\cdot33=51\cdot33=1683[/tex]

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