If n is any positive integer, then 1 + 2 + 3 +…+ n =

If n is any positive integer, then 2¹ + 2²+ 2³ + … + 2ⁿ =

(x+1/x) ⁴ =

If a statement P(n) is true for n = m, where m is some given natural number, and the truth of P(n) for n = k > m implies the truth of P(n) for n = k + 1, then P(n) is true for all positive integers

In the expansion of (a + b)⁷, the 2nd term is

If a statement P(n) is true for n=1 and the truth of P(n) for n = k implies the truth of P(n) for n = k + 1, then P(n) is true for all

(x-1) ³ =

IF n is any positive integer, then 1/1.3+1/3.5+1/5.7 + …+ 1/(2n – 1)(2n + 1) =

IF n is any positive integer, then 2ⁿ > 2 (n+1) is true for all

If n is any positive integer, then 1/1.2+1/2.3+1/3.4 +…+1/n(n+1)=

If n is any positive integer, then 3 + 6 + 9 + …. + 3n =