DRAW/ILLUSTRATE situation or objects that show an geometric sequence.
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simplify 100+8+2+(3*2-6+2
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- A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
- This ratio is known as a common ratio of the geometric sequence. In other words, in a geometric sequence, every term is multiplied by a constant which results in its next term.
- So a geometric sequence is in form a, ar, ar2... where 'a' is the first term and 'r' is the common ratio of the sequence. The common ratio can be either positive or negative.
- Here is the list of all geometric sequence formulas. For any geometric sequence a, ar, ar2, ar3, ... nth term, aₙ = arn - 1 (or) aₙ = r aₙ ₋ ₁
- Sum of the first n terms, Sₙ = a(rn - 1) / (r - 1) when r ≠ 1 and Sₙ = na when r = 1.
- Sum of infinite terms, S∞ = a / (1 - r) when |r| < 1 and S∞ diverges when |r| ≥ 1.itive or a negative real number.
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