Identify the 12th term of the geometric sequence in which a2 = −6 and a6 = −96

The 12th term of the geometric sequence is: -6144

Step-by-step explanation:

We need to find r, and we have some information:

y

because (6-2=4)

because -96/-6=16

The equation to find the n term is:

Now, we need to find

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -