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Mathematics
Mathematics
Problem
Consider the two series below. Series A:
∑
n
=
0
∞
3
(
1
2
)
n
\displaystyle \sum_{n=0}^{\infty} 3\left(\tfrac12\right)^{n}
n
=
0
∑
∞
3
(
2
1
)
n
Series B:
∑
n
=
0
∞
4
(
1.1
)
n
\displaystyle \sum_{n=0}^{\infty} 4\left(1.1\right)^{n}
n
=
0
∑
∞
4
(
1.1
)
n
Determine which series converges and calculate its sum.
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