The value of the \(n\)th term of a sequence is given by the expression \(a^{4n}-13\). If the second term of the sequence is \(243\), which of the following is the value of \(a\)?
We are given a sequence \( \left( a_n \right)^{\infty}_{n=1} \) defined recursively by: \( a_1=-1,\ a_2=0\) and \(\ a_{n+2}=a_{n}-a_{n+1}-d\), where \(\ n\in\mathbb{N} \).
Find the value of an unknown constant \( d\in\mathbb{R} \) and of the term \( a_5 \) if \( a_3 = -4 \).
We are given the sequence \(\left (an + b\right )_{n=1}^{\infty }\).
This sequence satisfies \(a_{7} - a_{2} = -10\). Use this information to find \(a\).