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The nth term of an A.P. 5, 8, 11, 14, ...... is 68. Find n = ? - Algebra

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Sum

The nth term of an A.P. 5, 8, 11, 14, ...... is 68. Find n = ?

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Solution

The given A.P. is 5, 8, 11, 14, ......

Here, a = 5, d = 8 – 5 = 3, tn = 68

Since tn = a + (n – 1)d,

68 = 5 + (n – 1)(3)

∴ 68 = 5 + 3n – 3

∴ 68 = 2 + 3n

∴ 66 = 3n

∴ n = `66/3`

∴ n = 22

Concept: General Term of an Arithmetic Progression
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