Values into the formula and calculate the missing term.
How to find the missing terms, and use the formula.
Find any missing term in an arithmetic progression as long
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In the following APs, find the missing terms in the boxes : [], 38, [], [], [], -22
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In the following APs, find the missing terms in the boxes : [], 38, [], [], [], -22
Here, a₂ = 38 and a₆ = – 22. To find: a₁, a₃, a₄ and a₅
Given that: a₂ = a + (2 -1)d = 38
⇒ a + d = 38
⇒ a = 38 – d
and a₆ = – 22 ⇒ a + 5d = – 22
Putting the value of a from equation (1), we get
38 – d + 5d = – 22 ⇒ d = – 15
Putting the value of a from equation (1), we get
a = 38 – (-15) = 53
Therefore, a₁ = a = 53
a₃ = a + 2d = 53 +2(-15) = 23
a₄ = a + 3d = 53 + 3 (-15) = 8
a₅ = a + 4d = 53 + 4 (-15) = – 7