" i) "sqrt(2)*sqrt(8),sqrt(18),sqrt(32)-...

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) ,...............

Show that the progressions given below is an AP. Find the first term, common difference and next term of each given series. (1) 9, 15, 21, 27, …. (ii)11, 6, 1, -4… (iii) -1, (-5)/(6), (-2)/(3), (-1)/(2),…. (iv) sqrt(2), sqrt(8), sqrt(18), sqrt(32), .... (v)sqrt(20), sqrt(45), sqrt(80), sqrt(125),...

2sqrt(8)+5sqrt(32)

The sum of 24 terms of the following series sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32)+...... is

What is the sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32)+...