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Formula Sheet

Arithmetic Progressions — Formula Sheet

Gujarat Board · Class 10 · Mathematics

5 formulas from Arithmetic Progressions (Gujarat Board Class 10 Mathematics) on one page, grouped by topic. Includes Formula and ASSUMING TERMS IN AP.

45 questions22 flashcards5 formulas & key relations5 concepts

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Illustrates the structure of an Arithmetic Progression (A.P.), showing the first term 'a' and common difference 'd', along with the general term formula.
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5 Entries · 2 Sections

Formulas and Key Relations

nth Term (General Term) of an AP

Formula

aₙ = a + (n-1)d, where a = first term, d = common difference, n = position of the term.

The last term of a finite AP is often denoted by 'l'. If the AP has m terms, then l = aₘ = a + (m-1)d.

Problem-Solving Strategies and Special Cases

ASSUMING TERMS IN AP

For 3 terms in AP, take them as (a-d), a, (a+d). Their sum = 3a, which simplifies calculations.

For 4 terms in AP, take them as (a-3d), (a-d), (a+d), (a+3d). Their sum = 4a.

For 5 terms in AP, take them as (a-2d), (a-d), a, (a+d), (a+2d). Their sum = 5a.

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Frequently Asked Questions

What are the important topics in Arithmetic Progressions for Gujarat Board Class 10 Mathematics?
Key topics in Arithmetic Progressions include What is an Arithmetic Progression?, nth Term (General Term) of an AP, Sum of First n Terms of an AP, Problem-Solving Strategies and Special Cases. Study these first, then practise questions on each for the Gujarat Board Class 10 board exam.
How many formulas are in Arithmetic Progressions?
This sheet lists 5 formulas from Arithmetic Progressions, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Arithmetic Progressions for the Gujarat Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Arithmetic Progressions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Arithmetic Progressions

All Gujarat Board Class 10 Mathematics Formula Sheet

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