Kenny's scores the first 5 times he played a video game are listed below.

38, 51, 64, 77, 90

Kenny's scores follow a pattern.

If the pattern continues, what would be Kenny's score on his 72nd game played?

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absor201 absor201 · Answer 1 · 2020-01-21T21:02:00+01:00

Kenny's score on his 72nd game would be 251.

Step-by-step explanation:

The scores of first five games are 38, 51, 64, 77, 90.

We can observe a common difference in each term, such as

51 - 38 = 13

64 - 51 = 13

77 - 64 = 13

90 - 77 = 13

Hence, the common difference (d) is = 13.

If the common difference is same in the sequence then its called the arithmetic sequence.

The formula to find the nth term of arithmetic sequence is:

[tex]a_{n} = a_{1} + (n-1)d[/tex]

Here,

[tex]a_{n}[/tex] is the nth term,

[tex]a_{a}[/tex] is the first term.

So, the score of 72nd game would be:

[tex]a_{72} = 38 + (72-1) 3[/tex]

[tex]a_{72} = 38 + (71) 3[/tex]

[tex]a_{72} = 38 + 213[/tex]

[tex]a_{72} = 251[/tex]

Hence, Kenny's score on his 72nd game would be 251.

Keywords: Arithmetic Sequence, Common Difference

Learn more about Arithmetic Sequence at:

#learnwithBrainly