Question

find the 5th term of the sequence 3,6,12​

Answer 1

Answer:

hey, here is your answer

24 is the answer to your question hope it's correct

Answer 2

Answer :

5th term of the given sequence = 48

Step-by-step explanation :

Given,

Sequence : 3 , 6 , 12

To find,

the 5th term of the given sequence

Solution,

first term, a₁ = 3

second term, a₂ = 6

third term, a₃ = 12

The given sequence is in Geometric Progression (G.P)

 since, the ratio between between a term and the preceding term is constant.

 i.e., 6/3 = 12/6 = 2

   r = a₂/a₁ = a₃/a₂

Common ratio, r = 2

we know,

nth term of G.P is given by,

    aₙ = arⁿ⁻¹

To find the 5th term,

 put n = 5

a₅ = (3)(2⁵⁻¹)

a₅ = 3(2⁴)

a₅ = 3(16)

a₅ = 48

Therefore, 5th term of the given sequence = 48