Engineering Board Exam Reviewer · Sequences and Series · medium

Insert 4 arithmetic means between 5 and 30. What is the third mean?

  1. 15
  2. 25
  3. 17.5
  4. 20

Answer

D. 20

Solution

The sequence has 6 terms with a1=5 and a6=30, so d=30-5/5=5. The means are 10,15,20,25, and the third is 20.

More Sequences and Series questions

  1. Find the 15th term of the arithmetic sequence 7, 11, 15,
  2. Solve for x in the following equation: x+4x+7x+·s+64x=1430.
  3. The seating section in a Coliseum has 30 seats in the first row, 32 seats in the second row, 34 seats in the third row, and so on, until…
  4. Find the 100th term of the sequence 1.01, 1.00, 0.99,
  5. Determine x, so that x, 2x+7, 10x-7 will form a geometric progression.
  6. If one third of the air in a tank is removed by each stroke of an air pump, what fractional part of the total air is removed in 6 strokes?
  7. If the 1st term of the geometric progression is 27 and the 4th term is -1, the third term is:
  8. Find the ratio of an infinite geometric series if the sum is 2 and the first term is 1/2.
  9. A piece of paper is 0.05 inches thick. Each time the paper is folded into half, the thickness is doubled. If the paper was folded 12…
  10. What is the 11th term of the harmonic progression if the first and the third terms are 1/2 and 1/6 respectively?

All Sequences and Series questions