![]() Given the following sequence 3, 6, 9, 12, etc. Value of the n th term = value of 1 st term + (distance between each term × how many times you need to apply that distance) N = the term you’re trying to calculate (so if n is 5, then A 5 means the value of the fifth term in the sequence)ĭ = the distance between each term (so if you’re adding the same number each time, then d is positive…if you are subtracting, then d is negative)īasically, if you think about the formula in English, it goes like this: ![]() 15, 10, 5, 0, -5, -10… (-5 between every term)įormula: A n = A 1 + d ( n-1) <– IMPORTANT: it’s always a + (plus sign) after A 1, never a – (minus sign) The latter two (repeating and miscellaneous) have special approaches you should use but no formulas.Īrithmetic Sequences: a pattern involving adding or subtracting the same number repeatedly.Į.g. The first two (arithmetic and geometric) have formulas you MUST memorize.
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