Is Goblins free for teachers?

Yes. Goblins offers a generous free tier that includes 1 live feedback assignment per week, insights on student mastery and replays, and the ability to upload your own content. The Max plan adds unlimited assignments, superadaptive mode, grade exports, standards growth reports, and SSO/LMS integration, with per-student pricing for schools and districts.

How does Goblins work?

Three simple steps: (1) Share an assignment from thousands of standards-aligned topics using a share code. (2) Students speak and draw their thinking naturally, and Goblins responds with Socratic questioning that sounds just like their teacher. (3) Teachers get real-time formative insights showing what students struggle with and suggestions to inform instruction.

Does Goblins prevent cheating?

Yes. Goblins uses a purpose-trained AI model that evaluates cheating signals in real time. It can detect when students are copying answers, using external tools inappropriately, or not genuinely working through problems. Copy-pasting answers is also blocked.

Can I use my own voice with Goblins?

Yes. Teachers can record their voice and take a selfie to create a custom 3D avatar in about 30 seconds. Students then hear help in their own teacher's voice and see a familiar face, making the experience more personal and effective.

What math levels does Goblins cover?

Goblins covers math from Grade 5 through AP Calculus, including thousands of standards-aligned topics. Teachers can also upload their own content for custom assignments at any level.

Is Goblins FERPA compliant?

Yes. Goblins is FERPA and state compliant. Student data privacy and security are a top priority.

Does Goblins support English Language Learners?

Yes. Goblins supports 30+ languages so teachers don't have to translate every worksheet. It is especially helpful for ELL students who need accessible math instruction in their native language.

MA.FR.3.b

Derive the formulas associated with arithmetic and geometric sequences and series.

Example Problems

Find the sum:

\sum_{k = 0}^{60} (4 - 3k) =

Find the sum:

\sum_{k=1}^{40} 2(-0.8)^{k-1}

Find the sum:

\sum_{k = 5}^{45} (3k - 28) =

Khan Academy Resources

Intro to arithmetic sequence formulas Geometric sequences review Converting recursive & explicit forms of arithmetic sequences Recursive formulas for arithmetic sequences Converting recursive & explicit forms of arithmetic sequences Recursive formulas for geometric sequences Explicit formulas for geometric sequences Finite geometric series Converting recursive & explicit forms of geometric sequences Sequences word problems Explicit formulas for arithmetic sequences Sequences and domain Sequences intro Arithmetic series formula Geometric series intro Arithmetic series intro Proof of finite arithmetic series formula Intro to geometric sequences Sequences and domain Explicit & recursive formulas for geometric sequences Using recursive formulas of geometric sequences Converting recursive & explicit forms of arithmetic sequences Finite geometric series formula Sequences word problems Finite geometric series word problem: social media Converting recursive & explicit forms of geometric sequences Explicit formulas for arithmetic sequences Recursive formulas for arithmetic sequences

1-on-1 AI tutoring aligned to MA.FR.3.b. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

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