Write an explicit formula for an, the n^th
term of the sequence 2, 4, 6,

Step-by-step explanation:

The given sequence is 2, 4, 6, ....

We need to write an explicit formula for . The firts term is 2, second term is 4 and third term is 6 and so on.

Each term is 2 greater than the term before it. Thus we can write it as follows :

Where

n = 1,2,3....

Hence, the explicit formula is .

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !