using two column chart compare and contrast the arithmetic sequence and geometric sequence
Answer (1)
quence involves multiplying by a constant ratio. The two-column chart below further elaborates on their differences and similarities: FeatureArithmetic SequenceGeometric SequenceDefinitionSequence where each term differs from the preceding term by a constant value (common difference)Sequence where each term after the first is obtained by multiplying the preceding term by a constant value (common ratio)Common Difference/RatioCommon difference is addedCommon ratio is multipliedFinding the Difference/RatioSubtract the first term from the second termDivide the second term by the first termGeneral Formulaan = a1 + (n-1)dan = a1 * r(n-1)Example2, 4, 6, 8, ... (common difference of 2)2, 4, 8, 16, ... (common ratio of 2)Nature of ProgressionLinear (constant difference)Exponential (constant ratio)ApplicationsLinear situations, financial planning with regular contributionsScenarios involving growth or decay, compound interest, population growth
