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MATH / Consider the infinite arithmetic sequence A with first term 5 and common difference −2. Now define the infinite sequence B so that the k^(th) term of B is 2 raised to the k^(th) te…

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problem

Consider the infinite arithmetic sequence AA with first term 55 and common difference −2-2. Now define the infinite sequence BB so that the kthk^{th} term of BB is 22 raised to the kthk^{th} term of AA. Find the sum of all of the terms of BB.
Plain-text mathematical notation (without MathML)
Consider the infinite arithmetic sequence A with first term 5 and common difference −2. Now define the infinite sequence B so that the k^(th) term of B is 2 raised to the k^(th) term of A. Find the sum of all of the terms of B.
Original LaTeX notation
Consider the infinite arithmetic sequence $A$ with first term $5$ and common difference $-2$. Now define the infinite sequence $B$ so that the $k^{th}$ term of $B$ is $2$ raised to the $k^{th}$ term of $A$. Find the sum of all of the terms of $B$.

level

Level 5

type

Algebra

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Source and history

task_id
81aa5b37-7567-58d6-8592-6a2d4b92d58d
task_key
algebra--test--81aa5b37-7567-58d6-8592-6a2d4b92d58d
task_revision_id
1
config / split
algebra / test

Official source

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