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Question
In the following APs, find the missing term in the boxes:
`-4, square, square, square, square, 6`
Solution
-4, -2, 0, 2, 4, 6
Explanation:
For this A.P.,
a = −4 and
a6 = 6
We know that,
an = a + (n − 1) d
a6 = a + (6 − 1) d
6 = −4 + 5d
10 = 5d
d = 2
a2 = a + d = −4 + 2 = −2
a3 = a + 2d = −4 + 2 (2) = 0
a4 = a + 3d = −4 + 3 (2) = 2
a5 = a + 4d = −4 + 4 (2) = 4
Therefore, the missing terms are −2, 0, 2 and 4 respectively.
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