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Find 27th and nth term of given A.P. 5, 2, – 1, – 4, ...... - Algebra

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Sum

Find 27th and nth term of given A.P. 5, 2, – 1, – 4, ......

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Solution

The given A.P. is 5, 2, – 1, – 4, ......

Here, a = 5, d = 2 – 5 = – 3

Since tn = a + (n – 1)d,

tn = 5 + (n – 1)(– 3)

∴ tn = 5 – 3n + 3

∴ tn = 8 – 3n

∴ t27 = 8 – 3(27)

= 8 – 81

= – 73

∴ nth term of the given A.P. is 8 – 3n and 27th term is – 73.

Concept: Arithmetic Progression
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