16
practice testMultiple Choice

Practice Test

Question 16 • Precalculus

Khalid wrote the given sequence. x minus 1 comma negative 2 x plus 2 comma 4 x minus 4 comma negative 8 x plus 8 comma dot dot dot Which formula can be used to find the 10 th term of the sequence?

Answer
A
A sub 10 is equal to open paren x minus 1 close paren times negative 2 raised to the 10 minus 1 power
B
A sub 10 is equal to open paren x minus 1 close paren raised to the 10 minus 1 power
C
A sub 10 is equal to open paren x minus 1 close paren times 2 raised to the 10 minus 1 power
D
A sub 10 is equal to open paren x minus 1 close paren times negative 2 to the 10th power

Explanation

Each term is found by multiplying the previous term by −2, so the sequence is geometric with first term x − 1 and common ratio −2. The 10th term is a₁r⁹, or (x − 1)(−2)^(10 − 1), which is choice A.

AI-written and checked against the verified answer.

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