Use Summation Notation
-$$3 ^ { 2 } + 6 ^ { 3 } + 9 ^ { 4 } + \ldots + 24 ^ { 9 }$$
A) $\sum _ { i = 1 } ^ { 8 } ( 3 i ) ^ { i + 1 }$
B) $\sum _ { \mathrm { i } = 1 } ^ { 8 } ( 3 \mathrm { i } ) ^ { \mathrm { i } }$
C) $\sum _ { \mathrm { i } = 1 } ^ { 8 } 2 ( \mathrm { i } - 1 ) ^ { \mathrm { i } + 1 }$
D) $\sum _ { i = 1 } ^ { 8 } 3 i ^ { 2 i - 1}$

Question

Quizplus · Accepted Answer

The given sequence can be represented by the formula $ (3i)^{i+1} $, where $i$ starts at 1 and ends at 8, matching the pattern of increasing powers and multiples of 3 in the sequence.

Use Summation Notation - 32+63+94+…+2493 ^ { 2 } + 6 ^ { 3 } + 9 ^ { 4 } + \ldots + 24 ^ { 9 }32+63+94+…+249

Use Summation Notation
- $3 ^ { 2 } + 6 ^ { 3 } + 9 ^ { 4 } + \ldots + 24 ^ { 9 }$