It seems that you have provided a sequence represented by the function c(n). The function is given as:
c(n) = (-9/2) * (-4/3)^(n-1)
This function represents a geometric sequence, where each term is obtained by multiplying the previous term by a constant ratio of -4/3.
The first term of the sequence (corresponding to n = 1) can be found by substituting n = 1 into the given function:
c(1) = (-9/2) * (-4/3)^(1-1)
= (-9/2) * (-4/3)^0
= (-9/2) * 1
= -9/2
Therefore, the first term of the sequence is -9/2.
To find subsequent terms, you can substitute different values of n into the function and evaluate the expression. Each term will be the previous term multiplied by -4/3.
For example, the second term (corresponding to n = 2) is:
c(2) = (-9/2) * (-4/3)^(2-1)
= (-9/2) * (-4/3)
= 18/2 * 4/3
= 36/6
= 6
So, the second term is 6.
Similarly, you can calculate other terms of the sequence by substituting different values of n into the function.