Multiple choice

Passage

Directions: Study the following information carefully and answer the question given below. A series contains seven terms. The first term of the series is p 0 , where p represents the smallest odd prime number. The second term of the series is equal to p. The third term is the cube of the second term. The fourth term is obtained by dividing the square of the third term by the second term. The fifth term is obtained by subtracting the third term from the fourth term. The sixth term is 5 times the fifth term. The seventh term is obtained by adding the fourth term to the sixth term.

If another series has its second term as 5 and follows the same formation from the second term onward, then what will be the fourth term of the new series?

  1. 3,025

  2. 3,075

  3. 3,125

  4. 3,175

  5. 3,200
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C Correct answer
Explanation

Series: T1=p, T2=p, T3=p^3, T4=(p^3)^2/p = p^5. For the new series, T2=5. Following the rule, T3=5^3=125. T4=125^2/5 = 15625/5 = 3125.

AI explanation

For the new series, the second term is 5, making the third term the cube of the second term (5 cubed equals 125). The fourth term is obtained by dividing the square of the third term by the second term, which is 125 squared divided by 5. This gives 15625 divided by 5, resulting in 3125.

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