x1 , x2 , x3 , .... are in A.P If x1 + x7 + x10 = -6 and x3 + x8 + x22

1.	x1 , x2 , x3 , .... are in A.P If x1 + x7 + x10 = -6 and x3 + x8 + x22 = ?(1) –21 (2) –15 (3) –18 (4) –31
Answer» Correct option is (1) –21 a + b + 6d + a + ad = -6 a + 5d = -2 a + 2d + a + 7d + a + 11d = -11 ⇒ 3a + (-8 - 4a) = -11 ⇒ −a = −3 ⇒ a = 3 a = −1 a + 2d + a + 7d + a + 21d = 9 -30 = -21

x1 , x2 , x3 , .... are in A.P If x1 + x7 + x10 = -6 and x3 + x8 + x22 = ?(1) –21 (2) –15 (3) –18 (4) –31

Answer»

Correct option is (1) –21

a + b + 6d + a + ad = -6

a + 5d = -2

a + 2d + a + 7d + a + 11d = -11

⇒ 3a + (-8 - 4a) = -11

⇒ −a = −3

⇒ a = 3

a = −1

a + 2d + a + 7d + a + 21d = 9 -30 = -21

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x1 , x2 , x3 , .... are in A.P If x1 + x7 + x10 = -6 and x3 + x8 + x22 = ?(1) –21 (2) –15 (3) –18 (4) –31

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