Sequence and Series
- The Concept of Arithmetic Progression
- An arithmetic progression is a list of numbers in which the difference between any two consecutive terms is equal.
- In an AP, each term, except the first term, is obtained by adding a fixed number called common difference to the preceding term.
- The common difference of an AP can be positive, negative or zero.
- 1. is an AP whose first term and common difference are 3 and 3 respectively.
- 2. is an AP whose first term and common difference are 7 and –2 respectively.
- 3. is an AP whose first term and common difference are –7 and 0 respectively.
- The general form of an AP can be written as a, a + d, a + 2d, a + 3d …, where a is the first term and d is the common difference.
- A given list of numbers i.e., a1, a2, a3 … forms an AP if ak+1 – ak is the same for all values of k.
Which of the following lists of numbers forms an AP? If it forms an AP, then write its next three terms.
(a) –4, 0, 4, 8, …
(b) 2, 4, 8, 16, …
(a) –4, 0, 4,…
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