If ax = by = cz = du and a, b, c, d are in GP, then x, y, z, u are in
AP
GP
HP
None of these
C.
HP
We have,
ax = by = cz = du
Let ax = by = cz = du = k
Since, a, b, c, d are in GP.
If x is numerically so small so that x2 and higher power of x can be neglected, then is approximately equal to
If S1, S2 and S3 are the sums of n, 2n and 3n terms of an arithmetic progression respectively, then
S2 = 3S3 - 2S1
S3 = 4(S1 + S2)
S3 = 3(S2 - S1)
S3 = 2(S2 + S1)