Question 71
Using mathematical induction, prove that the sum of the first n natural numbers is given by n(n+1)/2. What is the sum when n=5?Mathematical inductionMathematical Inductioneasy
Select one option to submit your answer.
KCSE Mathematics AI Practice
Train with AI-generated exam-style questions. Get instant explanations and coaching on every weak area.
Interactive mode85 questions available
Practice mode
Answer immediately. If you miss, we show exactly why your selected option is wrong.
Progress: 0/10 correct (0 answered)
Question 72
Find the 5th term of the arithmetic progression with first term 3 and common difference 4.Progressions: arithmetic and geometricArithmetic Progressionseasy
Select one option to submit your answer.
Question 73
Calculate the determinant of matrix [[2,3],[1,4]].Matrices and determinantsDeterminantsmedium
Select one option to submit your answer.
Question 74
Find the vector sum of A = 3i + 2j and B = -i + 4j.Vectors in 2D and 3DVectorsmedium
Select one option to submit your answer.
Question 75
Find the equation of the line passing through (2,3) with slope 4.Coordinate geometryCoordinate Geometrymedium
Select one option to submit your answer.
Question 76
If sin θ = 0.6, find cos θ using the identity sin²θ + cos²θ = 1.TrigonometryTrigonometric Identitiesmedium
Select one option to submit your answer.
Question 77
Solve for x: 2sin x - 1 = 0, where 0° ≤ x ≤ 360°.Trigonometric equations and identitiesTrigonometric Equationsmedium
Select one option to submit your answer.
Question 78
Determine the derivative of f(x) = 3x² + 5x - 2.Differentiation (calculus)Differentiationmedium
Select one option to submit your answer.
Question 79
Evaluate the integral ∫ (2x + 3) dx.Integration (calculus)Integrationmedium
Select one option to submit your answer.
Question 80
Given data set {4, 7, 7, 10, 12}, what is the mode?Statistics: measures of central tendencyStatisticseasy
Select one option to submit your answer.