Choose the correct option to complete the arithmetic sequence:
2, 4.5, _, 9.5, 12, _,17

7.5 and 13

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6.5 and 13

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7 and 14.5

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8 and 13.5

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Solution

The correct option is C 7 and 14.5
The sequence has the first term has, $a_{0} = 2$

$a_{1} - a_{0} ⟶ 4.5 - 2 = 2.5$
$a_{4} - a_{3} ⟶ 12 - 9.5 = 2.5$

Hence, the common difference between the terms is, $d = 2.5$

Hence, the other two terms are 7 and 14.5

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