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.

What is the seventh term of the series?

  1. 1,233

  2. 1,323

  3. 1,296

  4. 1,350

  5. 1,386
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B Correct answer
Explanation

p=3. T1=3. T2=3. T3=3^3=27. T4=27^2/3=243. T5=243-27=216. T6=5*216=1080. T7=243+1080=1323.

AI explanation

The smallest odd prime number is 3, so the terms are calculated as p0 = 1, p = 3, the third term = 27, and the fourth term = (27^2) / 3 = 243. The fifth term is 243 - 27 = 216, making the sixth term 5 * 216 = 1080. The seventh term is the sum of the fourth and sixth terms, which is 243 + 1080 = 1323.

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