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Which term of the A.P. 121,117,113....is …

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Which term of the A.P. 121,117,113....is its first negative term

Posted by Saksham Rathore 5 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 3 months ago

A.P : 121, 117, 113...

a = 121

d = 117- 121= -4

Let an= 0

an = a + (n-1)d

⇒ 0 = 121 + (n-1)(-4)

⇒ 0 = 121 - 4n + 4

⇒4n = 125

⇒ n = 125/4

⇒ n = 31.25

n must be natural number therefore n= 32

Hence, 32nd term is first negative number.

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