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a, b = constants or variables. Square of a sum or difference. a 2 − b 2 = ( a + b) ⋅ ( a − b) a, b = constants or variables.

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Additional Formulas. Where P = principal (starting value), r = rate of growth, n = number of months, t = time in years, Formula Symbols Comment $$a_n=a_1+(n-1) \cdot d$$ a n = value of the nth term a 1 = first term n = any number in the series d = difference b/w consecutive terms: This formula is for an arithmetic sequence $$s_n=\frac{n \cdot (a_1 + a_n)}{2}$$ s n = sum of sequence with n terms a n = value of the nth term a 1 = first term n = any number in the series ACT Math Facts & Formulas Averages, Counting, Statistics, Probability average = sum of terms number of terms average speed = total distance total time sum = average·(number of terms) mode = value in the list that appears most often median = middle value in the list median of {3,9,10,27,50} = 10 median of {3,9,10,27} = (9+ 10)/2 = 9.5 a b + c d = ad + cb bd. a b + c d = a d + c b b d. a b − c d = ad − cb bd. a b − c d = a d − c b b d. Multiplying and Dividing Fractions: a b × c d = a × c b × d. a b × c d = a × c b × d.

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