Question 271
The sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \). Find the first term \( a_1 \) and the common difference \( d \).Select one option to submit your answer.
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Question 271
The sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \). Find the first term \( a_1 \) and the common difference \( d \).Select one option to submit your answer.
Question 272
If set A = {1, 3, 5, 7} and set B = {3, 4, 5, 6}, what is A ∩ B?Select one option to submit your answer.
Question 273
Find the derivative of f(x) = x^3 - 4x^2 + 7.Select one option to submit your answer.
Question 274
The vector u = 3i - 2j and vector v = -i + 4j. What is the dot product u · v?Select one option to submit your answer.
Question 275
If set A = {1, 2, 3, 4} and set B = {3, 4, 5, 6}, what is the intersection of sets A and B?Select one option to submit your answer.
Question 276
Simplify the algebraic expression: 3(x - 2) + 4(2x + 1).Select one option to submit your answer.
Question 277
Which of the following quadratic equations has roots 3 and -2?Select one option to submit your answer.
Question 278
Find the derivative of f(x) = 5x³ - 2x² + x - 7.Select one option to submit your answer.
Question 279
Evaluate the integral ∫ (2x + 3) dx.Select one option to submit your answer.
Question 280
Find the roots of the quadratic equation x² - 4x + 3 = 0.Select one option to submit your answer.
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