How to find any term in a geometric sequence

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How to find any term in a geometric sequence
How to find any term in a geometric sequence
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A geometric sequence is a sequence derived from multiplying the last term by a constant. Geometric progressions have many uses in today's society, such as calculating interest on money in a bank account. So if you were wondering how exactly you can calculate how much money you will have there in a couple of years, this article will help you find out.

Steps

Find Any Term of a Geometric Sequence Step 1
Find Any Term of a Geometric Sequence Step 1

Step 1. Identify the first term in the sequence, call this number a

Find Any Term of a Geometric Sequence Step 2
Find Any Term of a Geometric Sequence Step 2

Step 2. Find the common ratio (r) of the sequence

You can calculate it by dividing any term in the geometric sequence by the term that precedes it.

Find Any Term of a Geometric Sequence Step 3
Find Any Term of a Geometric Sequence Step 3

Step 3. Identify the term number you want to find in the sequence

Call this number n.

  • For example, if you want to know the 8vo term of the sequence, then n = 8.
Find Any Term of a Geometric Sequence Step 4
Find Any Term of a Geometric Sequence Step 4

Step 4. The n voterm that is given by arn-1.

Just insert the values of to, r and in this formula and evaluate the resulting expression to obtain the n vo term.

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