Find the next three terms in the sequence {eq}3, 12, 21, 30,\cdot\cdot\cdot {/eq}

Question:

Find the next three terms in the sequence {eq}3, 12, 21, 30,\cdot\cdot\cdot {/eq}

Arithmetic Sequence:

{eq}\\ {/eq}

An arithmetic sequence is defined by two parameters, one is the first term {eq}(a) {/eq} of the sequence and second is a common difference {eq}(d) {/eq} or the difference between two successive terms {eq}(a_{n} - a_{n - 1}) {/eq}. The general form of an arithmetic sequence {eq}\Biggr[ a, \; (a + d), \; (a + 2d), \; (a + 3d), \; \cdots \cdots \Biggr] {/eq} will be used here in order to get the values of the next terms.

Answer and Explanation: 1

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{eq}\\ {/eq}

The sequence for which we have to determine the next three terms is given below:

{eq}3, \; 12, \; 21, \; 30 \; \cdots \cdots \\ 3, \;...

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Understanding Arithmetic Series in Algebra

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Chapter 21 / Lesson 7
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In algebra, the result of adding up a few or all of the numbers in an arithmetic sequence is an arithmetic series. Explore how to find the common difference and discover the necessary information for understanding arithmetic series sums.


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