In the following A.P., find the missing terms:
– 4, □,□,□,□, 6
Here, a = –4, n = 6 and l = 6
We have,
l = a + (n – 1)d
⇒6 = –4 + (6 – 1)d
⇒6 = –4 + 5d
⇒10 = 5d
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So, the missing terms are –
a2 = a + d = –4 + 2 = –2
a3 = a + 2d = –4 + 2(2) = –4 + 4 = 0
a4 = a + 3d = –4 + 3(2) = –4 + 6 = 2
a5 = a + 4d = –4 + 4(2) = –4 + 8 = 4
Hence, the missing terms are –2, 0, 2 and 4
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