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| Math Central | Quandaries & Queries |
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Question from sammantha, a student: Find the 3rd term of the sequence, an=1.5(4)n - 1. |
Hi Sammantha,
The letter $n$ in the expression
\[a_n = 1.5 \times 4^n - 1\]
is the term number. For the first term substitute $n = 1$ into the expression to get
\[a_1 = 1.5 \times 4^1 - 1 = 1.5 \times 4 - 1 = 6 - 1 = 5.\]
For the second term substitute $n = 2$ into the expression to get
\[a_2 = 1.5 \times 4^2 - 1 = 1.5 \times 16 - 1 = 24 - 1 = 23.\]
What is the third term?
Penny
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