Question

Find the 35th term for the sequence: 12, 9.5, 7, 4.5...

Answer 1

-73

Explanation:

So to begin you must find where you start on a graph. To do this you can go backwards from your first number and in this situation it would be 14.5 because the slope is -2.5x. I will use y as the answer.

y=-2.5x+14.5

From here you plug in how many terms are neeeded for the correct answer. In this situation there is 35 terms needed.

y=-2.5(35)+14.5

Solve this equation to get your answer.

y=-73

Answer 2

• The 35th term is - 73.

----------------------------

Given sequence:

• 12, 9.5, 7, 4.5...

This is an AP with the common difference of:

• d = 4.5 - 7 = 7 - 9.5 = 9.5 - 12 = - 2.5

The first term is a = 12.

Use the nth term equation to find the 35th term:

• aₙ = a + (n - 1)d
• a₃₅ = 12 + (35 - 1)(- 2.5) = 12 - 34*2.5 = 12 - 85 = - 73