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Is 302 a term of the A.P. 3, 8, 13, …. ? |
Answer» Given, A.P. 3, 8, 13,… Here, a = 3 and d = a2 – a1 = 8 – 3 = 5 We know that, nth term an = a + (n – 1)d Required to check nth term an = 302 a + (n – 1)d = 302 3 + (n – 1)5 = 302 3 + 5n – 5 = 302 5n – 2 = 302 5n = 304 ⇒ n = 304/5, which is not a whole number. Therefore, 302 is not a term in the A.P. |
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