Question

If a, a-2, a+1 are in geometric sequence., the value of a is

Answer 1

Step-by-step explanation:

I hope this answer may help you

Answer 2

Answer:

The value is a = 4/5

Step-by-step explanation:

In a geometric sequence, the common ratio is the ratio of any one term and its previous term.

Given geometric sequence is a, a -2, a + 1

The common ratio is given by  $\frac{a-2}{a}$  or  $\frac{a+1}{a-2}$

Since the common ratio is the same for all terms

Consider  

$\frac{a-2}{a}=\frac{a+1}{a-2}$

$(a-2)(a-2)=a(a+1)$

$a^{2}+4-4a=a^{2}+a$

$5a= 4$

$a=\frac{4}{5}$

Therefore the value of a is 4/5