The first term of an arithmetic progression is unity and the common difference is 4 which of the following will be a term of this A.P
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1,5,9,13,..............
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Answer: Given, a = 1, d = 4. Option 1 : T = 4551 a + (n-1)d = 4551 1 + (n-1)4 = 4551 n-1=4550/4 = not divisible by 4 Option 2 : T = 10091 n-1 = 10090/4 = not divisible by 4 Option 3 : T=7881 n-1 = 7880/4 = 1970 n = 1971 which is an integer. Therefore Option 3 is correct.
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