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Question
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.
Options
4551
10091
7881
13531
Solution
7881
Explanation;
t1 = 1
d = 4
tn = a + (n – 1)d
= 1 + 4n – 4
4n – 3 = 4551
4n = 4554
n = will be a fraction
It is not possible.
4n – 3 = 10091
4n = 10091 + 3 = 10094
n = a fraction
4n – 3 = 7881
4n = 7881 + 3 = 7884
n = `7884/40`, n is a whole number.
4n – 3 = 13531
4n = 13531 – 3
= 13534
n is a fraction.
∴ 7881 will be 1971st term of A.P.
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