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Omni-MATH / Let …beanarithmeticsequenceand{g_(n)}_(n≥1) be a geometric sequence such that the first four terms of …are0,0,1,and0,inthatorder.Whatisthe10thtermof{a_(n)+g_(n)} ?

Problem

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problem

Let \{a_{n}\}_{n \geq 1}beanarithmeticsequenceand{gn}n≥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 are 0,0,1,and0,inthatorder.Whatisthe10thtermof{an+gn}, and 0 , in that order. What is the 10th term of \{a_{n}+g_{n}\} ?
Plain-text mathematical notation (without MathML)
Let \{a_{n}\}_{n \geq 1}beanarithmeticsequenceand{g_(n)}_(n≥1) be a geometric sequence such that the first four terms of \{a_{n}+g_{n}\}are0,0,1,and0,inthatorder.Whatisthe10thtermof{a_(n)+g_(n)} ?
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 10th term of \{a_{n}+g_{n}\}$ ?

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Source and history

task_id
5923622a-7009-59e2-b789-b24da4a9b674
task_key
test--5923622a-7009-59e2-b789-b24da4a9b674
task_revision_id
1
config / split
/ test

Official source

initial import