Solve: 1 + 6 + 11 + 16 ++ x = 148

1.	Solve: 1 + 6 + 11 + 16 ++ x = 148
Answer» 1 + 6 + 11 + 16 + ... + x = 148 a = 1 d = 5 an = a + (n-1)d x = 1 + (n-1)5 x = 5n - 4 148 = n/2 (1 + 5n - 4) 296 = 5nn - 3n 5nn - 3n - 296 = 0 5nn - 40n + 37n - 296 = 0 5n(n-8) + 37(n-8) = 0 (5n+37)(n-8) = 0 n = 8 x = 58 - 4 = 40 - 4 x = 36 If you find this answer helpful then like it.

Answer»

1 + 6 + 11 + 16 + ... + x = 148 a = 1 d = 5 an = a + (n-1)d x = 1 + (n-1)5 x = 5n - 4 148 = n/2 (1 + 5n - 4) 296 = 5n*n - 3n 5n*n - 3n - 296 = 0 5n*n - 40n + 37n - 296 = 0 5n(n-8) + 37(n-8) = 0 (5n+37)(n-8) = 0 n = 8 x = 5*8 - 4 = 40 - 4 x = 36

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Solve: 1 + 6 + 11 + 16 ++ x = 148

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