Write the series with summation notation.
-$36 + 27 + 18 + 9 + 0 + ( - 9 )$
A) $\sum _ { i = 1 } ^ { 6 } ( - 9 i + 45 )$
B) $\sum _ { i = 1 } ^ { 6 } - 9 i$
C) $\sum _ { i = 1 } ^ { 6 } ( - 9 i + 36 )$
D) $\sum _ { i = 1 } ^ { 6 } 9 i$

Question

Quizplus · Accepted Answer

The series decreases by 9 for each term, starting from 36. The formula $-9i + 45$ generates the sequence when $i$ starts from 1 to 6: for $i=1$, $-9(1) + 45 = 36$; for $i=2$, $-9(2) + 45 = 27$, and so on, correctly producing the given series.

Write the Series with Summation Notation 36+27+18+9+0+(−9)36 + 27 + 18 + 9 + 0 + ( - 9 )36+27+18+9+0+(−9)

Write the Series with Summation Notation $36 + 27 + 18 + 9 + 0 + ( - 9 )$