Check if it is the same for all other pairs of consecutive terms in the sequence.
How the given sequence is an arithmetic progression (AP) with the common difference.
How check the term, the common difference, and the position of the missing term.
10th Maths EXERCISE 5.2, Page No:106, Questions No:3 Part (iii),
In the following APs, find the missing terms in the boxes : 5, _, _, 9(1/2)
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Here, a = 5 and a₄ = 9(1/2). To find: a₂ and a₃
Given that: a₄ = a + (4 -1)d = 9(1/2
⇒ 5 + 3d = 19/2 ⇒ 3d = 19/2 – 5 = 9/2 ⇒ d = 3/2
Therefore, a₂ = a + d = 5 + 3/2 = 6(1/2) and a₃ = a + 2d = 5 + 2(3/2) = 8