Question

Isaac got a new video game. He scored 2 points on the first level, 12 points on the second level, 72 points on the third level, and 432 points on the fourth level. What kind of sequen is this?

Answer 1

Isaac's video game scores form a geometric sequence with a common ratio of 6, where each level's score is six times the score of the previous level.

Step-by-step explanation:

Isaac's score pattern in the video game appears to be a geometric sequence, where each level's score is obtained by multiplying the previous level's score by a constant number. This constant number is known as the common ratio in a geometric sequence. To identify the common ratio, we divide the score of any level by the score of the previous level.

• Dividing the second level score (12) by the first level score (2) gives us 12 / 2 = 6.
• Dividing the third level score (72) by the second level score (12) gives us 72 / 12 = 6.
• Dividing the fourth level score (432) by the third level score (72) gives us 432 / 72 = 6.

Since each quotient is 6, the common ratio is 6, confirming that this is indeed a geometric sequence.