Algebra
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Q. In a geometric series, if the first term is 4 and the common ratio is 3, what is the 4th term?
Q. In a sequence defined by a_n = 2^n, what is the 5th term?
Q. In a sequence defined by a_n = 2^n, what is the value of a_5?
Q. In an arithmetic series, if the first term is 5 and the last term is 45, and there are 10 terms, what is the common difference?
Q. In how many ways can 3 boys and 2 girls be seated in a row?
Q. In how many ways can 3 different colored balls be arranged in a line?
Q. In how many ways can 3 different colored balls be chosen from a set of 7?
Q. In how many ways can 3 men and 2 women be arranged in a line if the men must be together?
Q. In how many ways can 3 red balls and 2 blue balls be arranged in a row?
Q. In how many ways can 3 red, 2 blue, and 1 green balls be arranged in a line?
Q. In how many ways can 4 different books be chosen from a shelf of 10 books?
Q. In how many ways can 4 different books be selected from a shelf of 10 books?
Q. In how many ways can 4 different colored balls be arranged in a line?
Q. In how many ways can 4 different colored balls be placed in 3 different boxes?
Q. In how many ways can 4 different prizes be awarded to 3 students?
Q. In how many ways can 4 different prizes be distributed among 3 students?
Q. In how many ways can 4 students be selected from a group of 10?
Q. In how many ways can 5 different colored balls be arranged in a box?
Q. In how many ways can 5 different flags be arranged on a pole?
Q. In how many ways can 5 different items be selected from 10 items?
Q. In how many ways can 5 different objects be selected from 10 objects?
Q. In how many ways can 6 different objects be selected and arranged in a line?
Q. In how many ways can 6 people be divided into 2 groups of 3?
Q. In how many ways can 7 different items be selected and arranged in a line?
Q. In how many ways can 7 different objects be arranged in a circle?
Q. In how many ways can the letters of the word 'LEVEL' be arranged?
Q. In the expansion of (1 + x)^10, what is the coefficient of x^5?
Q. In the expansion of (2 + 3x)^4, what is the coefficient of x?
Q. In the expansion of (2 + 3x)^4, what is the coefficient of x^2?
Q. In the expansion of (2x + 3)^4, what is the coefficient of x^1?
