Putri is correct
This is an arithmetic sequence, whose n th term is
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d
where [tex]a_{1}[/tex] is the first term and d the common difference
d = - 17 - (- 34 ) = - 34 - (- 51) = 17 and [tex]a_{1}[/tex] = - 51, hence
[tex]a_{n}[/tex] = - 51 + 17(n - 1) = - 51 + 17n - 17 = 17n - 68 ← Putri
The formula h(n)=-68+17n, given by Putri is correct.
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
The given sequence is -51,-34,-17,0,..., the formula to calculate n terms will be an = a₁ + ( n - 1 )d.
Where a₁ is the first term, an is a term, and d is a common difference.
nth
The formula given by Oliver and Putri is h(n)=-51+17n and h(n)=-68+17n.
To calculate the expression first calculate the common difference. The common difference is the difference between the second term and the first term. The common difference is calculated as:-
d = -17 - (-34)
d = -17 + 34
d = 17
The formula for nth term will be written as:-
an = -51 + 17 ( n-1 )
an = -51 + 17n -17
an = 17n - 68
Hence, the formula an = 17n - 68 given by Putri is correct.
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