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Question 0502d
Sigma Notation
Bottom Limit Handling
Question
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It is given that
f
(
r
)
=
2
r
+
1
{f(r) = 2 r + 1}
f
(
r
)
=
2
r
+
1
and
∑
r
=
2
n
f
(
r
)
=
n
2
+
2
n
+
6.
\sum_{r=2}^n f(r) = n^2 + 2 n + 6.
r
=
2
∑
n
f
(
r
)
=
n
2
+
2
n
+
6.
Find an expression for
∑
r
=
17
n
f
(
r
)
.
\displaystyle \sum_{r=17}^{n} f(r).
r
=
17
∑
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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