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Question 0502d
Sigma Notation
Bottom Limit Handling
Question
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It is given that
f
(
r
)
=
2
r
+
7
{f(r) = 2 r + 7}
f
(
r
)
=
2
r
+
7
and
∑
r
=
1
n
f
(
r
)
=
n
2
+
8
n
−
6.
\sum_{r=1}^n f(r) = n^2 + 8 n - 6.
r
=
1
∑
n
f
(
r
)
=
n
2
+
8
n
−
6.
Find an expression for
∑
r
=
0
n
f
(
r
)
.
\displaystyle \sum_{r=0}^{n} f(r).
r
=
0
∑
n
f
(
r
)
.
in the form
n
2
+
B
n
+
C
,
{n^2 + Bn + C,}
n
2
+
B
n
+
C
,
where
B
{B}
B
and
C
{C}
C
are constants to be determined.
Attempt
B
=
{B = }
B
=
C
=
{C = }
C
=
Answer
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