Find the next term in the following sequence: a-2d, a-d, a, a+d, ...
(A) a + 2d
(B) a - 2d
(C) 4a + 2d
(D) 2a + 2d
$[1]$

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Solution

Option A is the correct answer.

let $A_{1}$ and D be the first term and the common difference respectively.
$A_{1} = a - 2 d$
D=a-d-a+2d=d
$A_{5} = A_{1} + 4 D = a - 2 d + 4 d = a + 2 d$

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