Let `S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 + k^2`. Then which of the following is true ?

Let S(K) =1+3+5+….+(2K-1)=k^(2) +3 . Then which of the following is true?

Let S(k): 1+3+5+…+(2k-1) =3+k^(2), state which of the following is true-

If (tan3A)/(tanA)=k(k!=1) then which of the following is not true?

Let s_1 = {(i,j, k) ∶ i,j, k ∈ {1,2, … ,10}} , s_2 = {(i,j) ∶ 1 ≤ i s_3 = {(i,j, k, l) ∶ 1 ≤ i s_4 = {(i,j, k, l) ∶ i,j, k and l are distinct elements in {1,2, … ,10}} . If the total number of elements in the set s_r is n_r , r= 1,2,3,4, then which of the following statements is (are) TRUE ?

Let alpha,beta and gamma be the roots of the equation x^(3)-x-1=0 . If P_(k)=(alpha)^(k)+(beta)^(k)+(gamma)^(k),kge1 , then which one of the following statements is not true?

Let alpha,beta and gamma be the roots of the equation x^(3)-x-1=0 . If P_(k)=(alpha)^(k)+(beta)^(k)+(gamma)^(k),kge1 , then which one of the following statements is not true?

If (tan3A)/(tanA)=k(k!=1) then which of the following is not true? (a) (cosA)/(cos3A)=(k-1)/2 (b) (sin3A)/(sinA)=(2k)/(k-1) (c) (cot3A)/(cotA)=1/k (d) none of these