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