Arithmetic Sequence

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    30-Jul-2015
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Transcript of Arithmetic Sequence

1. Presented by: Joseph C. Nilo 2. Practice Exercise:Find the next five terms ofthe following sequence: 1, 3, 5, 7, 2, 4, 6, 8, 1, 5, 9, 8, -7, -2, 3, 8, 20, 11, 2, -7, 3. Problem of the day!!! Find the common differenceand the requires term in thefollowing sequence 3, 6, 9, a8 -5, -10, -15, a20 8, -1, -10, -19, a18 4. Arithmetic Sequence A sequence in which each termis obtained by adding aconstant d to preceding term.The constant number d is calledthe common difference. The nth term of an arithmeticsequence is defined asan = a1 + (n 1)d 5. a n = a 1 + (n 1)dwhere a n = the last term a 1 = the first term n = the number of term d = the commondifference 6. State whether or not each of thefollowing is an arithmetic progression.If it is, give the common difference. 5, 10, 15, -5, 6, 10, 4, 5, 6, 7, 6, 20, 30, , , 1/6, d = 5notd = 1notnot 7. Find the indicated term of thearithmetic sequence.1. a1 = 10, d = 6, find a72. a1 = 12, d = 2, find a103. a1 = -5, d = -7, a12 = ?4. a1 = -20, d = -4, a8 = ?5. a1 = 0.5, d = 1.5, finda284630-82-4841 8. Find the indicated term of the arithmetic sequence.1. 12, 20, 28, find a252. -5, -13, -21, find a433. 2.5, 7, 11.5, find a94. 15, 17, 19, find a355. -3.8, -6.2, -8.6, finda20