What is the value of the fourth term in geometric sequence for which a1 = 15 and r = 1/3?

the fourth term is 5/9

Step-by-step explanation:

a sequence is defined like this:

1, 2, 3,4…….. n  

1= first term

2=second term

3= third term

n=term n of the secuence

a geometric sequence is defined as follows

The General formula to calculate the term n of a geometric sequence is:

                         Formula (1)

We can calculate any term of the sequence by replacing the information known in the formula (1):

For this case: a=a1=15 ,   r=1/3

                  Formula (2)

We replace n=4 in the formula 2  

The fourth term of the geometric sequence is 5/9

susie has 7 apples

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b