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Problem
Problem
If
α
,
β
\alpha, \beta
α
,
β
are the roots of the equation
a
x
2
+
b
x
+
c
=
0
ax^2 + bx + c = 0
a
x
2
+
b
x
+
c
=
0
and
A
n
=
α
n
+
β
n
A_n = \alpha^n + \beta^n
A
n
=
α
n
+
β
n
, then
a
A
n
+
2
+
b
A
n
+
1
+
c
A
n
aA_{n+2} + bA_{n+1} + cA_n
a
A
n
+
2
+
b
A
n
+
1
+
c
A
n
is equal to a. 0 b. 1 c.
a
+
b
+
c
a + b + c
a
+
b
+
c
d.
a
b
c
abc
ab
c
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