Given the first term and the common ratio of a geometric sequence find the first five terms and the explicit formula.
a1 = - 4, r = 6

331776

Step-by-step explanation:

The formula for geometric

sequence is given below

ar^n-1

Where a= first term, r= common ratio

From the question, a1 = - 4, r = 6 , n= 5

Then if we substitute, we have

ar^n-1

5th term= ar^n-1

= (-4×6)^(5-1)

=-24 ^ 4

=331776

Hence, the first five terms is =331776

The formula is 5th term= ar^(5-1)

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

answer: .75 km

step-by-step explanation: