If a_(1)=5,a_(2)=0 and a_(n)=a_(n-1)-a_(n-2) then find the value of a_(4). Answer:

Given Sequence and Formula: We are given the first two terms of the sequence: a_(1) = 5 and a_(2) = 0. We are also given the recursive formula for the sequence: a_(n) = a_(n-1) - a_(n-2). To find a_(4), we first need to find a_(3) using the recursive formula.Calculate a_(3): Using the recursive formula, we calculate a_(3) as follows: a_(3) = a_(2) - a_(1) a_(3) = 0 - 5 a_(3) = -5Calculate a_(4): Now that we have a_(3), we can use it along with a_(2) to find a_(4) using the same recursive formula: a_(4) = a_(3) - a_(2) a_(4) = -5 - 0 a_(4) = -5

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If
a_(1)=5,a_(2)=0 and
a_(n)=a_(n-1)-a_(n-2) then find the value of
a_(4).
Answer:

If $a_{1}=5, a_{2}=0$ and $a_{n}=a_{n-1}-a_{n-2}$ then find the value of $a_{4}$ . $\newline$ Answer:

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Precalculus

Add, subtract, multiply, and divide complex numbers

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Q. If

a_{1}=5, a_{2}=0

and

a_{n}=a_{n-1}-a_{n-2}

then find the value of

a_{4}

\newline

Answer:

Given Sequence and Formula: We are given the first two terms of the sequence: $a_{1} = 5$ and $a_{2} = 0$ . We are also given the recursive formula for the sequence: $a_{n} = a_{n-1} - a_{n-2}$ . To find $a_{4}$ , we first need to find $a_{3}$ using the recursive formula.
Calculate $a_{3}$ : Using the recursive formula, we calculate $a_{3}$ as follows: $\newline$ $a_{3} = a_{2} - a_{1}$ $\newline$ $a_{3} = 0 - 5$ $\newline$ $a_{3} = -5$
Calculate $a_{4}$ : Now that we have $a_{3}$ , we can use it along with $a_{2}$ to find $a_{4}$ using the same recursive formula: $\newline$ $a_{4} = a_{3} - a_{2}$ $\newline$ $a_{4} = -5 - 0$ $\newline$ $a_{4} = -5$