Find if 100 is a term of the AP 25,28,31, ...or not.

1.	Find if 100 is a term of the AP 25,28,31, ...or not.
Answer» Let 100 be the nth term of the given AP 25, 28, 31, .......... , 100 a = 25, d = 3 Let the number of terms be ‘‘n’’. ∴ 25 + (n – 1) × 3 = 100 ⇒ (n – 1) × 3 = 75 ⇒ n = 26 Hence, 100 is a term of the given AP

Answer»

Let 100 be the nth term of the given AP

25, 28, 31, .......... , 100

a = 25, d = 3

Let the number of terms be ‘‘n’’.

∴ 25 + (n – 1) × 3 = 100

⇒ (n – 1) × 3 = 75

⇒ n = 26

Hence, 100 is a term of the given AP

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Find if 100 is a term of the AP 25,28,31, ...or not.

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