Question

Find the seventh term of the following sequence? 1.5, 3, 6, ...
A. 96
B. 28
C. 18

Answer 1

A, 96 have an amazing day!!!

Explanation:

Answer 2

Option A.

Explanation:

The given sequence is 1.5, 3, 6............

We will check first whether the the given sequence is arithmetic or geometric.

For arithmetic sequence

`a_(2)-a_(1)=3-1.5=1.5`

`a_(3)-a_(2)=6-3=3`

1.5 ≠ 3, therefore, the given sequence is not an arithmetic sequence.

For geometric sequence

`(a_(2) )/(a_(1) )=(3)/(1.5)=2`

`(a_(3) )/(a_(2) )=(6)/(3)=2`

2 = 2, therefore, sequence is geometric.

For geometric sequence explicit formula is defined as

`a_(n)=a_(1)(r)^(n-1)`

`a_(7)=1.5(r)^(7-1)`

=
`1.5(2)^(6)=96`

Therefore, Option A. is the answer.