Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

The value of the term is -256 and r is -1/4.

In a Geometric Sequence, each term is found by multiplying the previous term by a constant.

The standard formula for finding the nth term of the geometric sequence is;

Where a1 is the first term and r is the common ratio.

The formula for finding the nth term of the geometric sequence is;

The first term of the sequence is;

The second term of the sequence is;

Therefore,

The value of r is;

Hence, the value of the term is -256 and r is -1/4.

To know more about Geometric progression click the link given below.

link

Step-by-step explanation:

The geometric sequence is given by :-

, where a is the first term and r is the constant ratio.

The given explicit formula of nth term :-

First term=

Hence,

Second term =

Now,

hence,  

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2