![]() ![]() r = common ratio of the geometric sequence.a = first term of the geometric sequence.So in general, the n th term of a geometric sequence is, , where 'a' is the first term and 'r' is the common ratio. ![]() We have already seen that a geometric sequence is of the form a, ar, ar 2, ar 3. is an infinite sequence where the last term is not defined. Infinite geometric sequenceĪn infinite geometric sequence is a geometric sequence that contains an infinite number of terms. 13122 is a finite geometric sequence where the last term is 13122. They areĪ finite geometric sequence is a geometric sequence that contains a finite number of terms. There are two types of geometric sequences based on the number of terms in them. is a geometric sequence where a = √2 and r = -1 is a geometric sequence where a = π and r = 2 is a geometric sequence where a = -4 and r = -1/2 is a geometric sequence where a = 1/4 and r = 1/2 The common ratio can be either a positive or a negative number. where 'a' is the first term and 'r' is the common ratio of the sequence. So a geometric sequence is in form a, ar, ar 2. In other words, in a geometric sequence, every term is multiplied by a constant which results in its next term. This ratio is known as a common ratio of the geometric sequence. Geometric Sequence vs Arithmetic SequenceĪ geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. Sum of Infinite Geometric Sequence Formula Here we shall learn more about each of the above-mentioned geometric sequence formulas along with their proofs and examples. The geometric sequences can be finite or infinite.
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