AimMent

For Class 8, 9 & 10

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Concept-first questions with clear model answers across all four subjects, aligned to NCERT. Start early, build the habit, and walk into your board exams, NEET and JEE already ahead.

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ChapterAllAcids, Bases and SaltsArithmetic ProgressionsCarbon and its CompoundsChemical Reactions and EquationsCirclesControl and CoordinationCoordinate GeometryElectricityHeredity and EvolutionHow do Organisms ReproduceIntroduction to TrigonometryLife ProcessesLight - Reflection and RefractionMagnetic Effects of Electric CurrentMetals and Non-metalsOur EnvironmentPair of Linear Equations in Two VariablesPolynomialsProbabilityQuadratic EquationsReal NumbersSome Applications of TrigonometryStatisticsSurface Areas and VolumesThe Human Eye and the Colourful WorldTriangles

Showing 2 questions for Class 10. Tap a card to reveal the answer.

MathematicsArithmetic Progressionseasy

The first term of an AP is 3 and the common difference is 5. Find its 10th term.

Reveal answer ↓

What it is

In an AP each term rises by a fixed step d; the nth term is a + (n - 1)d.

Answer

The nth term of an AP is a_n = a + (n - 1)d. Here a = 3, d = 5, n = 10, so a_10 = 3 + (10 - 1) x 5 = 3 + 45 = 48.

a_n = a + (n - 1)d

  • •a_n = a + (n - 1)d
  • •a = 3, d = 5, n = 10
  • •a_10 = 48

Why learn this

APs model salaries with fixed raises, seating rows, EMIs and steady savings.

💡 Memory trick

nth term = start + (steps taken) x step = a + (n - 1)d.

MathematicsArithmetic Progressionsmedium

Find the sum of the first 20 terms of the AP 2, 5, 8, 11, ...

Reveal answer ↓

What it is

The sum of an AP pairs the first and last terms: S = n/2 [2a + (n - 1)d].

Answer

Here a = 2 and d = 3. The sum of n terms is S_n = n/2 [2a + (n - 1)d]. So S_20 = 20/2 [2(2) + 19(3)] = 10 [4 + 57] = 10 x 61 = 610.

S_n = n/2 [2a + (n - 1)d]

  • •a = 2, d = 3, n = 20
  • •S_n = n/2 [2a + (n-1)d]
  • •S_20 = 10 x 61 = 610

Why learn this

It quickly totals things that grow steadily - savings, stacked logs, salaries over years.

💡 Memory trick

Sum = (number of terms / 2) x (2a + (n - 1)d): half the count times the bracket.