Given two terms find the nth term of a geometric sequence

👉 Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which each term of the sequence is obtained by multiplying/dividing by a common value, called the common ratio, to the preceding term.

The formula for the nth term of a geometric sequence is given by An = ar^(n - 1), where a is the first term, n is the term number and r is the common ratio. We can obtain the common ratio by dividing a term by the preceding term or if the known terms are not consecutive, we can obtain the common ratio by taking the nth root of the quotient of the two terms, where the n in the nth root is the difference of their term numbers. Plugging the required values into the formula, we can obtain the required nth term of the geometric sequence.

Organized Videos:
✅ Sequences
✅Sequences | Learn About
✅Determine The First Five Terms of The Arithmetic Sequence
✅How to Write The Formula for a Arithmetic Sequence
✅Find the nth Term of an Arithmetic Sequence
✅Find the First Five Terms of a Geometric Sequence
✅How to Write The Formula for a Geometric Sequence
✅Find the nth Term of a Geometric Sequence
✅How to Determine Arithmetic or Geometric Sequence
✅Find the First Five Terms of a Sequence
✅How to Write The Formula for a Sequence
✅Find the nth Term of a Sequence
✅How to Simplify Factorials
✅Recursive Sequences
✅Prove the Sum by Induction
✅Find the Given Term of Binomial Expansion
✅Binomial Expansion | Learn About
✅How to Expand a Binomial

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[Ray-yegz]

Mr Brian, You could have found a14 in another way too. Since you found r=1/2, you can use the usual formula, a14= a1* r^13, , to get the final answer, 1000/8192 = 0.1221

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