Question

Boa noite, qual é o somatário ?

i =10
∑ $3^{i}$
i=₁

Answer 1

Resolver o somatório:

$\mathsf{\displaystyle\sum_{i=1}^{10}3^{i}}}}}}}$

Vejamos:

$\mathsf{\displaystyle\sum_{i=1}^{10}3^{i}}=\nathsf{3^{1}+3^{2}+3^{3}+3^{4}+3^{5}+3^{6}+3^{7}+3^{8}+3^{9}+3^{10}}}\\\\\\\\ \mathsf{\displaystyle\sum_{i=1}^{10}3^{i}}=\mathsf{3+9+27+81+243+729+2187+6561+19683+59049}}}\\\\\\\\\ \Large\boxed{\boxed{\mathbf{~\therefore~\displaystyle\sum_{i=1}^{10}3^{i}=88572.}}}}}}}}}$

Espero que te ajude. '-'