Write an explicit formula for a_(n), the n^("th ") term of the sequence 27,23,19,dots. Answer: a_(n)=

Sequence Type: We have the sequence: 27, 23, 19, ... Is the given sequence geometric or arithmetic? 27, 23, 19, ... Here, there is a common difference between consecutive terms. The given sequence is arithmetic.Initial Values: Determine the values of a1 and d of the sequence. The first term, a1 = 27 Common difference, d = 23 - 27 = -4Explicit Formula: We have: an = a1 + (n-1)d a1 = 27 d = -4 Write an explicit formula to describe the sequence 27, 23, 19, ... an = a1 + (n-1)d an = 27 + (n-1)(-4) an = 27 - 4n + 4 an = 31 - 4n

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Write an explicit formula for
a_(n), the
n^("th ") term of the sequence
27,23,19,dots.
Answer:
a_(n)=

Write an explicit formula for $a_{n}$ , the $n^{\text {th }}$ term of the sequence $27,23,19, \ldots$ . $\newline$ Answer: $a_{n}=$

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Math Problems

Algebra 1

Write variable expressions for arithmetic sequences

Full solution

Q. Write an explicit formula for

a_{n}

, the

n^{\text {th }}

term of the sequence

27,23,19, \ldots

\newline

Answer:

a_{n}=

Sequence Type: We have the sequence: $27, 23, 19, \ldots$ $\newline$ Is the given sequence geometric or arithmetic? $\newline$ $27, 23, 19, \ldots$ $\newline$ Here, there is a common difference between consecutive terms. $\newline$ The given sequence is arithmetic.
Initial Values: Determine the values of $a_1$ and $d$ of the sequence. $\newline$ The first term, $a_1 = 27$ $\newline$ Common difference, $d = 23 - 27 = -4$
Explicit Formula: We have: $\newline$ $a_n = a_1 + (n-1)d$ $\newline$ $a_1 = 27$ $\newline$ $d = -4$ $\newline$ Write an explicit formula to describe the sequence $27, 23, 19, \ldots$ $\newline$ $a_n = a_1 + (n-1)d$ $\newline$ $a_n = 27 + (n-1)(-4)$ $\newline$ $a_n = 27 - 4n + 4$ $\newline$ $a_n = 31 - 4n$