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boyakko [2]
3 years ago
10

3. What is the explicit formula for the arithmetic sequence 2, 7, 12, 17, ...?

Mathematics
1 answer:
dangina [55]3 years ago
3 0

Step-by-step explanation:

<em>The</em><em> </em><em>given</em><em> </em><em>sequences</em><em> </em><em>are</em><em>;</em>

<em>2</em><em>,</em><em>7</em><em>,</em><em>1</em><em>2</em><em>,</em><em>1</em><em>7</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

<em>difference</em><em> </em><em>=</em><em>5</em>

<em>by</em><em> </em><em>using</em><em> </em><em>formula</em><em>,</em>

<em>we</em><em> </em><em>get</em><em>,</em>

<em>tn</em><em>=</em><em>a</em><em>+</em><em>(</em><em>n-1</em><em>)</em><em>d</em>

<em>tn</em><em>=</em><em> </em><em>2</em><em>+</em><em>(</em><em>n-1</em><em>)</em><em>5</em>

<em>Therefore</em><em>,</em><em> </em><em>tn</em><em> </em><em>is</em><em> </em><em>5</em><em>n-3</em><em> </em><em>is</em><em> </em><em>required</em><em> </em><em>formula</em><em> </em><em>for</em><em> </em><em>this</em><em> </em><em>arithmetic</em><em> </em><em>sequences</em><em>.</em>

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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