Question

Verify whether the following sequence is G.P. If so, write t_n: 

7, 14, 21, 28, ...

Answer 1

7, 14, 21, 28, ...
t₁ = 7, t₂  14, t₃ = 21, t₄ = 28, ...

Here, `"t"_2/"t"_1 = 2, "t"_3/"t"_2 = 3/2, "t"_4/"t"_3 = 4/3`

Since, `"t"_2/"t"_1 ≠ "t"_3/"t"_2 ≠ "t"_4/"t"_3`

∴ the given sequence is not a geometric progression.