(tn) is an arithmetic sequence in which t3-t5=6, t4= 16 , find the (n)th term and find the order and the value of the first negative term in this sequence .

Since is arithmetic, it's given recursively by

where is a fixed number and is the starting term in the sequence. We have

and so on, so that

We're told that , so

and

so that

Then the first term in the sequence is :

and the sequence has general formula

The first negative term occurs for

The first negative term in the sequence is .

the answer is 62.8 cubic units

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!