Write the series with summation notation.
-$6 + 18 + 54 + 162 + 486$
A) $\sum _ { \mathrm { i } = 1 } ^ { 5 } 3 ( 6 ) ^ { \mathrm { i } - 1 }$
B) $\sum _ { i = 1 } ^ { 5 } 6 ( 3 ) ^ { i }$
C) $\sum _ { i = 1 } ^ { 5 } 6 + 3 ( i - 1 )$
D) $\sum _ { \mathrm { i } = 1 } ^ { 5 } 6 ( 3 ) ^ { \mathrm { i } - 1 }$

Question

Quizplus · Accepted Answer

Each term in the series is obtained by multiplying the previous term by 3, starting from 6. The first term is $6 \times 3^0 = 6$, the second term is $6 \times 3^1 = 18$, and so on, which matches the pattern described by option D: $\sum _ { \mathrm { i } = 1 } ^ { 5 } 6 ( 3 ) ^ { \mathrm { i } - 1 }$.

Write the Series with Summation Notation 6+18+54+162+4866 + 18 + 54 + 162 + 4866+18+54+162+486

Write the Series with Summation Notation $6 + 18 + 54 + 162 + 486$