benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / In a geometric sequence a₁, a₂, a₃, …, where all the terms are positive, a₅−a₄=576 and a₂−a₁=9. Find a₁+a₂+a₃+a₄+a₅.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

In a geometric sequence a1,a_1, a2,a_2, a3,a_3, …,\dots, where all the terms are positive, a5−a4=576a_5 - a_4 = 576 and a2−a1=9.a_2 - a_1 = 9. Find a1+a2+a3+a4+a5.a_1 + a_2 + a_3 + a_4 + a_5.
Plain-text mathematical notation (without MathML)
In a geometric sequence a₁, a₂, a₃, …, where all the terms are positive, a₅−a₄=576 and a₂−a₁=9.  Find a₁+a₂+a₃+a₄+a₅.
Original LaTeX notation
In a geometric sequence $a_1,$ $a_2,$ $a_3,$ $\dots,$ where all the terms are positive, $a_5 - a_4 = 576$ and $a_2 - a_1 = 9.$  Find $a_1 + a_2 + a_3 + a_4 + a_5.$

level

Level 4

type

Intermediate Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
4c9ec2b2-dfb5-559c-a420-a2224ad7b7c1
task_key
intermediate~5falgebra--test--4c9ec2b2-dfb5-559c-a420-a2224ad7b7c1
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import