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MATH / Let {a_(n)}_(n≥1) be an arithmetic sequence and {g_(n)}_(n≥1) be a geometric sequence such that the first four terms of {a_(n)+g_(n)} are 0, 0, 1, and 0, in that order. What is the…

Problem

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problem

Let {an}n≥1\{a_n\}_{n\geq 1} be an arithmetic sequence and {gn}n≥1\{g_n\}_{n\geq 1} be a geometric sequence such that the first four terms of {an+gn}\{a_n+g_n\} are 00, 00, 11, and 00, in that order. What is the next term of {an+gn}\{a_n+g_n\}? Note: Duplicate problem
Plain-text mathematical notation (without MathML)
Let {a_(n)}_(n≥1) be an arithmetic sequence and {g_(n)}_(n≥1) be a geometric sequence such that the first four terms of {a_(n)+g_(n)} are 0, 0, 1, and 0, in that order.  What is the next term of {a_(n)+g_(n)}?

Note: Duplicate problem
Original LaTeX notation
Let $\{a_n\}_{n\geq 1}$ be an arithmetic sequence and $\{g_n\}_{n\geq 1}$ be a geometric sequence such that the first four terms of $\{a_n+g_n\}$ are $0$, $0$, $1$, and $0$, in that order.  What is the next term of $\{a_n+g_n\}$?

Note: Duplicate problem

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
0a49adbe-40c0-56a2-841f-beea590dff5a
task_key
intermediate~5falgebra--test--0a49adbe-40c0-56a2-841f-beea590dff5a
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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