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Arithmetic Mean

Question 3 iv...

Question

Question 3 (iv)
In the following APs, find the missing term in the boxes.

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Solution

$F o r t h i s A . P ., a = - 4 a_{6} = 6 W e k n o w t h a t, a_{n} = a + (n - 1) d a_{6} = a + (6 - 1) d 6 = - 4 + 5 d 10 = 5 d d = 2 a_{2} = a + d = - 4 + 2 = - 2 a_{3} = a + 2 d = - 4 + 2 (2) = 0 a_{4} = a + 3 d = - 4 + 3 (2) = 2 a_{5} = a + 4 d = - 4 + 4 (2) = 4$
Therefore, the missing terms are −2, 0, 2, and 4 respectively.

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Arithmetic Mean

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