Math Pro
about
qns
questions
progress
Question 0501c
Sigma Notation
Method of Differences III
Question
Generate new
Given that
f
(
0
)
=
6
,
{f(0)=6,}
f
(
0
)
=
6
,
f
(
1
)
=
1
{f(1)=1}
f
(
1
)
=
1
and
f
(
2
)
=
9
,
{f(2)=9,}
f
(
2
)
=
9
,
express
∑
r
=
1
n
(
−
2
f
(
r
+
1
)
−
3
f
(
r
)
+
5
f
(
r
−
1
)
)
\sum_{r=1}^n \Big( - 2 f(r+1) - 3 f(r) + 5 f(r-1) \Big)
r
=
1
∑
n
(
−
2
f
(
r
+
1
)
−
3
f
(
r
)
+
5
f
(
r
−
1
)
)
in the form
a
+
b
f
(
n
)
+
c
f
(
n
+
1
)
,
a + bf(n) + cf(n+1),
a
+
b
f
(
n
)
+
c
f
(
n
+
1
)
,
where
a
,
b
{a, b}
a
,
b
and
c
{c}
c
are constants.
Attempt
a
=
{a=}
a
=
b
=
{b=}
b
=
c
=
{c=}
c
=
Answer
Back to top ▲
Question Progress
Start
Mastery
about
questions
progress