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Geometric sequences worksheet5/19/2023 įor more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts. A geometric sequence is also known as geometric progression. The number which is multiplied or divided by the previous term to get the next term is known as a common ratio and is denoted by r. Looking forward, students can progress with other sequences worksheets and on to additional algebra worksheets, for example a simplifying expressions worksheet or simultaneous equations worksheet. In a geometric sequence, each term is obtained by multiplying or dividing the previous term with a particular number. The first term and the common ratio can be used to write the nth term of a geometric sequence (or position-to-term formula). If the number sequence is decreasing this means that the common ratio is less than one. If the number sequence is increasing this means that the common ratio is greater than one. This ratio is known as a common ratio of the geometric sequence. The common ratio can also be used to find other missing terms in the sequence by multiplying or dividing terms by it. A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. ![]() ![]() an ran 1 GeometricSequence And because an an 1 r, the constant factor r is called the common ratio20. The common ratio can be found by dividing consecutive terms of the geometric sequence and can be used to find the next term in the sequence by multiplying the previous term by the common ratio. A geometric sequence18, or geometric progression19, is a sequence of numbers where each successive number is the product of the previous number and some constant r. The number sequence may have integers, fractions, decimals or a combination. A geometric sequence is a number sequence with a common ratio.
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