(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 .

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

d

step-by-step explanation: