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The terms in this sequence increase by the same amount each time. Work out the three missing terms to complete the sequence. 4rarr longrightarrow rarr longrightarrow longrightarrow rarr16 rarr

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The terms in this sequence increase by the same amount each time. Work out the three missing terms to complete the sequence. 4rarr longrightarrow rarr longrightarrow longrightarrow rarr16 rarr

The terms in this sequence increase by the same amount each time. Work out the three missing terms to complete the sequence. 4rarr longrightarrow rarr longrightarrow longrightarrow rarr16 rarr

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RhoswenElite · Tutor for 8 years

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<p> 7, 10, 13</p>

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<p></p><br /><p>1. The given sequence is an arithmetic sequence, which means that each term increases by a constant difference.</p><br /><p>2. To find the common difference, we can use the formula:</p><br />\[ d = \frac{a_n - a_1}{n-1} \]<br />Where:<br />\( a_n \) is the nth term (in this case, 16),<br />\( a_1 \) is the first term (in this case, 4), and<br />\( n \) is the total number of terms (in this case, 5).</p><br /><p>3. Plugging in the given values, we get:</p><br />\[ d = \frac{16 - 4}{5-1} = \frac{12}{4} = 3 \]<br /><p>4. This means that the common difference is 3.</p><br /><p>5. Using this common difference, we can find the missing terms:</p><br /><p>First missing term = 4 + 3 = 7</p><br /><p>Second missing term = 7 + 3 = 10</p><br /><p>Third missing term = 10 + 3 = 13</p><br /><p>6. Therefore, the three missing terms are 7, 10, and 13.</p>
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