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in Arithmetic Progression by (56.3k points)
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Which term of the AP 121, 117. 113, … is its first negative term?

1 Answer

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Given A.P is 121, 117, 113, ………..

Fiat term (a) = 121

Common difference (d) = 117 – 121

= – 4

We know that, nth term an = a + (n – 1)d

And, for some nth term is negative i.e., an < 0

121 + (n – 1) – 4 < 0

121 + 4 – 4n < 0

125 – 4n < 0

4n > 125

n > 125/4

n > 31.25

The integer which comes after 31.25 is 32.

∴ 32nd term in the A.P will be the first negative term.

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