Use the image to answer the question.An illustration shows four sets of squares labeled as term 1, term 2, term 3, and term 4. Term 1 has 2 squares, term 2 has 6 squares, term 3 has 10 squares, and term 4 has 14 squares. Term 1 has two rows of 1 square each. Term 2 has three rows of squares. The top and bottom row have 1 square and the middle row has 4 squares. Term 3 has 4 rows of squares. The top and bottom rows have 1 square each. The middle rows have 4 squares each. Term 4 has 5 rows of squares. The top and bottom rows have one square each. The middle rows have 4 squares each.An arithmetic sequence is represented by the number of squares in each term. Determine the common difference of the arithmetic sequence.(1 point)Responses2 6 14 4

Question

Use the image to answer the question.An illustration shows four sets of squares labeled as term 1, term 2, term 3, and term 4. Term 1 has 2 squares, term 2 has 6 squares, term 3 has 10 squares, and term 4 has 14 squares. Term 1 has two rows of 1 square each. Term 2 has three rows of squares. The top and bottom row have 1 square and the middle row has 4 squares. Term 3 has 4 rows of squares. The top and bottom rows have 1 square each. The middle rows have 4 squares each. Term 4 has 5 rows of squares. The top and bottom rows have one square each. The middle rows have 4 squares each.An arithmetic sequence is represented by the number of squares in each term. Determine the common difference of the arithmetic sequence.(1 point)Responses2 6 14 4

Answer 1

The common difference of the arithmetic sequence is 4.

Term 1 = 2
Term 2 = 6
Term 3 = 10
Term 4 = 14

To find the common difference, subtract the previous term from the next term:
6 - 2 = 4
10 - 6 = 4
14 - 10 = 4

Therefore, the common difference is 4.