The terms of the sequence will alternate between positive and negative. The position of each term is called the term number or term position. What you may not realize is when it comes to sequences, they are considered a type of function. The next three terms of the sequence are \(–16 \times –2 = 32\), \(32 \times –2 = −64\), and \(–64 \times –2 = 128\). Sequences A sequence is a pattern involving an ordered arrangement of numbers, geometric figures, letters, or other objects. Some of the terms of this sequence are surds, so leave your answer in surds as this is more accurate than writing them in decimal form as they would have to be rounded. Arithmetic Sequence and Series Formulas nth term of arithmetic sequence, an a + (n - 1) d Sum of the arithmetic series, Sn n/2 (2a + (n - 1) d) (or) Sn. Show that the sequence 3, 6, 12, 24, … is a geometric sequence, and find the next three terms.ĭividing each term by the previous term gives the same value: \(\frac\). In a \(geometric\) sequence, the term to term rule is to multiply or divide by the same value.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |