Theory of Intelligence
11TH•Mathematics•Sequences And Series•Question 6

Overview

Is 301 a term of the A.P. $5, 11, 17, \ldots$?

A.P.: ( 5, 11, 17, \ldots )

( a = 5 ), ( d = 6 )

Is 301 a term? [ a_n = 5 + (n-1)6 = 301 ] [ (n-1)6 = 296 ] [ n-1 = \dfrac{296}{6} = \dfrac{148}{3} \approx 49.333 ]

( n-1 ) is not an integer, so 301 is not a term of the A.P.

Answer: No

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