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in Arithmetic Progression by (37.9k points)
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Find the respective terms for the following AP.

a2 = 38; a6 = -22, find a1, a2, a3, a4.

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Given: a2 = a + d = 38 ….. (1) 

a6 = a + 5d = -22 ….. (2) 

Subtracting (2) from (1) we get

Now substituting, d = – 15 in equation (1), we get 

a + (- 15) = 38 ⇒ a = 38 + 15 = 53 

Thus, 

a1 = a = 53; 

a2 = a + 2d = 53 + 2 × (- 15) = 53 – 30 = 23; 

a3 = a + 3d = 53 + 3 × (- 15) = 53 – 45 = 8; 

a4 = a + 4d = 53 + 4 × (- 15) = 53 – 60 = – 7

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