Arithmetic Sequences
Midpoint Formula
100

What is the 10th term of the arithmetic sequence: 3, 7, 11, 15, ...?

What is 39?

100

A drone flies from point A at (–5, 1) to point B at (3, 7). Its controller loses signal halfway through. Where did the drone lose connection?

What is (–1, 4)?

200

What is the sum of the first 8 terms of the sequence: 2, 5, 8, 11, ...?

What is 112?

200

A treasure map shows two landmarks at coordinates (2, 6) and (10, 6). The treasure is buried exactly halfway between them. Find the treasure’s location

What is (6, 6)?

300

What is the 7th term in the sequence: 3, 6, 9, 12, ...?
 

What is 21?

300

A triangle has vertices A(–2, 4), B(2, 0), and C(6, 4). Find the midpoint of side AC.

What is (2, 4)?

400

What is the sum of the first 5 terms in the sequence: 7, 10, 13, 16, 19?
 

What is 65?

400

In triangle DEF, points D and F are located at (–2, 4) and (6, 4). A mathematician wants to find the midpoint of side DF in order to construct the median from point E. What is the midpoint of side DF?

What is (2, 4)?

500

If the first term of an arithmetic sequence is 5 and the common difference is 6, what is the 12th term?

What is 71?

500

The city is planning a new park, and they want to place a fountain exactly halfway between two landmarks. One landmark is at (–7, 4), and the other is at (3, –8).
Question: Where will the fountain be placed?

What is (–2, –2)?

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