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Mathematics P1 Step 7 of 11 beginner

Geometric Sequences and Infinite Series

Work with the common ratio, find any term or sum, and know exactly when an infinite series converges and when it does not.

By the end, you can

identify a geometric sequence, calculate terms and sums, and apply the condition for convergence.

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Geometric Sequences and Infinite Series

QUEST MATH-P1-GEOMETRIC

Multiplying, not adding

An arithmetic sequence adds the same amount each time. A geometric sequence multiplies by the same amount each time. 📈

That one difference changes everything: how fast it grows, which formulas apply, and whether adding infinitely many terms can give a finite answer. It can — and that result surprises people the first time they meet it.

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What you'll cover

  1. 1 Multiplying, not addingfree preview above
  2. 2 The common ratio
  3. 3 Negative and fractional ratios
  4. 4 The sum of n terms
  5. 5 When infinity gives a finite answer
  6. 6 Where the marks go
  7. 7 A routine for geometric questions
  8. 8 The challenge
  9. 9 What to take with you

Your certificate

Pass the challenge and it arrives straight away as a PDF. Add it to your CV or LinkedIn, and anyone can check it's real.

Certificate of completion

Your name here

has completed the MicroQuest

Geometric Sequences and Infinite Series

LCA-2026-••••••••

Verify at skillsyms.com/verify

Informal learning, not an accredited qualification.

Next on the Mathematics P1 path · step 8 of 11

Optimisation and Rates of Change

14 min · R19

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Geometric Sequences and Infinite Series: questions

How long does Geometric Sequences and Infinite Series take?
About 13 minutes: 9 short lessons, 2 quick checks and a 5-question final challenge. Your progress is saved after every step, so you can stop and carry on later.
How much does Geometric Sequences and Infinite Series cost?
R19, paid securely online, or 19 learning credits from your wallet. You pay once: if you don’t pass the challenge, you try again at no extra cost.
What do I need to pass?
4 out of 5 on the final challenge (80%). The quick checks along the way help you learn and do not count towards your mark.
Is the certificate accredited?
No. A MicroQuest is informal learning. Your certificate proves you completed it and has a number and QR code anyone can verify, but it is not an accredited qualification or SETA/QCTO credits, and it says so.
Can I do it on my phone?
Yes. Tap Start to learn in your phone’s browser, or send QUEST MATH-P1-GEOMETRIC to 076 263 6000 on WhatsApp. It is the same MicroQuest and the same certificate either way.

Geometric Sequences and Infinite Series

R19 · 13 min · certificate

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