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C(n)=−9/2 (−4/3)^n−1

User Hidroto
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1 Answer

6 votes

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.

User Fiori
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