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The teacher is handing out note cards to her students. She gave $58$ note cards to the first student, $41$ note cards to the second student, $24$ note cards to the third student, and $7$ note cards to the fourth student. What kind of sequence is this? $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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Write equations of sine functions using properties

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Q. The teacher is handing out note cards to her students. She gave

58

note cards to the first student,

41

note cards to the second student,

24

note cards to the third student, and

7

note cards to the fourth student. What kind of sequence is this?

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

(C) both

\newline

(D) neither

Find Differences: To determine the type of sequence, we need to check the differences or ratios between consecutive terms. Let's start by finding the differences between consecutive terms. $\newline$ Difference between first and second student's note cards: $58 - 41 = 17$ $\newline$ Difference between second and third student's note cards: $41 - 24 = 17$ $\newline$ Difference between third and fourth student's note cards: $24 - 7 = 17$
Identify Arithmetic Sequence: Since the differences between consecutive terms are constant, this indicates that the sequence is an arithmetic sequence.

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