In an arithmetic sequence, the sum of first and third terms is 6 and the sum of second and fourth terms is 20 Then the 11 text th term is

Question

In an arithmetic sequence, the sum of first and third terms is 6 and the sum of second and fourth terms is 20 Then the 11 text th term is (A) 67 (B) 62 (C) 57 (D) 73

Tardigrade Admin · Accepted Answer

a+a+2 d=6 2 a+2 d=6 a+d=3 ...(1) a+d+a+3 d=20 2 a+4 d=20 a+2 d=10 ...(2) d=7, a=-4 T11=-4+70=66

Q. In an arithmetic sequence, the sum of first and third terms is $6$ and the sum of second and fourth terms is $20$ Then the $1 1^{th}$ term is

67

62

57

73

66

$a + a + 2 d = 6$
$2 a + 2 d = 6$
$a + d = 3... (1)$
$a + d + a + 3 d = 20$
$2 a + 4 d = 20$
$a + 2 d = 10... (2)$
$d = 7, a = - 4$
$T_{11} = - 4 + 70 = 66$

Q. In an arithmetic sequence, the sum of first and third terms is 6 and the sum of second and fourth terms is 20 Then the 11th term is

67

62

57

73

66

a+a+2d=6 2a+2d=6 a+d=3...(1) a+d+a+3d=20 2a+4d=20 a+2d=10...(2) d=7,a=−4 T11​=−4+70=66

Q. In an arithmetic sequence, the sum of first and third terms is $6$ and the sum of second and fourth terms is $20$ Then the $1 1^{th}$ term is

$a + a + 2 d = 6$
$2 a + 2 d = 6$
$a + d = 3... (1)$
$a + d + a + 3 d = 20$
$2 a + 4 d = 20$
$a + 2 d = 10... (2)$
$d = 7, a = - 4$
$T_{11} = - 4 + 70 = 66$