Question

Predict the next 2 termsare they geometric, arithmetics or neither64, 48, 36, 27, _, _,

Answer 1

For this case we have the following sequence of numbers:

64,48 , 36, 27, ....

We can find the common difference on this way:

We can assume that we have a geometric sequence and we have this:

`48=64(r)`
`r=(48)/(64)=(3)/(4)`

Then we can write the general expression:

`a_n=64((3)/(4))^(n-1)`

For n = 1 we have a1 = 64

for n = 2 we have a2= 48

for n = 3 we have a3 = 36

for n = 4 we have a4= 27

For n = 5:

`a_5=64((3)/(4))^4=20.25`

For n =6:

`a_6=64((3)/(4))^5=15.1875`

then the next two terms are:

20.25 and 15.1875