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Write an equation for the nth term of the geometric sequence.

User Ajeetdl
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Final answer:

To find the nth term of a geometric sequence, use the formula an = a1 * r^(n-1), where a1 is the first term, r is the common ratio, and n is the term number.

Step-by-step explanation:

The question involves finding a general equation for the nth term of a geometric sequence which is a common task in high school mathematics. A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. The nth term of a geometric sequence can be expressed as an = a1 * r^(n-1), where a1 is the first term of the sequence, r is the common ratio, and n is the term number.

For example, if the first term (a1) is 5 and the common ratio (r) is 2, the sequence would be 5, 10, 20, 40, and so on. The nth term equation for this sequence would be an = 5 * 2^(n-1).

User Jonathan Nixon
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