If `3,3+sqrt(2),3+2sqrt(2),3+3sqrt(2),........` forms an AP then find the common difference

3,3+sqrt(2),3+2sqrt(2),3+3sqrt(2).......... , forms an AP then find the n^(th) term.

Is the sequence 3,3 + sqrt(2), 3+ 2sqrt(2) , 3+ 3sqrt(2) , .... an A.P. ? Justify.

Evaluate (2-sqrt(3))/(sqrt(2)-sqrt(3))

Which of the following are AP's ? If they form an A. P. , find the common difference d and write three more terms. 3,3 + sqrt2 , 3 + 2 sqrt2 , 3 + 3 sqrt2,….

The sequence 1/sqrt3,1/(sqrt3+sqrt2),1/(sqrt3+2sqrt2),... form an

Which of the following are Aps? If they form an AP, find the common difference d and write the next three terms. (i) 24m8m16,….. (ii) 2,5/2, 3, 7/2 ,….. (iii) -1.2, -3.2, -5.2, -7.2 ,…….. (iv) -10,-6,-2,2 ,……….. (v) 3,3+sqrt(2), 3+2sqrt(2), 3+3sqrt(2) ,.......... (vi) 0.2, 0.22, 0.222, 0.2222,..... (vii) 0,-4, -8,-12 ,.......... (viii) -1/2, -1/2, -1/2, -1/2 ,........... (ix) 1,3,9,27,....... (x) a,2a, 3a, 4a,....... (xi) a, a^(2), a^(3), a^(4) ,......... (xii) sqrt(2), sqrt(8), sqrt(18), sqrt(32) ,...... (xiii) sqrt(3), sqrt(6), sqrt(9), sqrt(12) ,...............

Which of the following are Aps? If they form an AP, find the common difference d and write three more terms. (v) 3, 3+sqrt(2), 3+2sqrt(2), 3+3sqrt(2)……