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Omni-MATH / For the sequence of numbers n₁,n₂,n₃,…, the relation n_(i)=2n_(i−1)+a holds for all i>1. If n₂=5 and n₈=257, what is n₅ ?

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problem

For the sequence of numbers n1,n2,n3,…n_{1}, n_{2}, n_{3}, \ldots, the relation ni=2ni−1+an_{i}=2 n_{i-1}+a holds for all i>1i>1. If n2=5n_{2}=5 and n8=257n_{8}=257, what is n5n_{5} ?
Plain-text mathematical notation (without MathML)
For the sequence of numbers n₁,n₂,n₃,…, the relation n_(i)=2n_(i−1)+a holds for all i>1. If n₂=5 and n₈=257, what is n₅ ?
Original LaTeX notation
For the sequence of numbers $n_{1}, n_{2}, n_{3}, \ldots$, the relation $n_{i}=2 n_{i-1}+a$ holds for all $i>1$. If $n_{2}=5$ and $n_{8}=257$, what is $n_{5}$ ?

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Source and history

task_id
7e303efa-1c9c-5136-8838-7412d55c308c
task_key
test--7e303efa-1c9c-5136-8838-7412d55c308c
task_revision_id
1
config / split
/ test

Official source

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