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Mathematics
Mathematics
Problem
Which of the following series is convergent? a)
∑
n
=
0
∞
(
−
3
)
n
2
n
\displaystyle \sum_{n=0}^{\infty} \dfrac{(-3)^{n}}{2^{n}}
n
=
0
∑
∞
2
n
(
−
3
)
n
b)
∑
n
=
0
∞
5
(
−
1
)
n
\displaystyle \sum_{n=0}^{\infty} 5(-1)^{n}
n
=
0
∑
∞
5
(
−
1
)
n
c)
∑
n
=
0
∞
5
(
−
0.9
)
n
\displaystyle \sum_{n=0}^{\infty} 5(-0.9)^{n}
n
=
0
∑
∞
5
(
−
0.9
)
n
d)
∑
n
=
0
∞
4
(
1.2
)
n
\displaystyle \sum_{n=0}^{\infty} 4(1.2)^{n}
n
=
0
∑
∞
4
(
1.2
)
n
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