1.

If nth term of an A.P is (5n - 4)/7 then common difference isA) -4/7B) 5/7C) 1/7D) 3/7

Answer»

Correct option is (B) 5/7

\(n^{th}\) term of A.P. is \(a_n=\frac{5n-4}{7}\)

\(\therefore\) Common difference is \(d=a_n-a_{n-1}\)

\(=\frac{5n-4}{7}-\frac{5(n-1)-4}{7}\)

\(=\frac{5n-4-5n+5+4}{7}\) \(=\frac{5}{7}\)

Correct option is B) 5/7



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