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How many terms are there in the sequence 20, 25, 30, …, 140?

A. 22
B. 25
C. 23
D. 24
Correct Answer: B. 25

The correct answer is 25. The sequence 20, 25, 30, ..., 140 forms an arithmetic progression (AP) with the following parameters:

  • First term (a) = 20
  • Common difference (d) = 5
  • Last term (Tₙ) = 140

We use the formula for the nth term of an AP: Tₙ = a + (n − 1)d

Substituting the values: 140 = 20 + (n − 1) × 5

  • 140 − 20 = (n − 1) × 5
  • 120 = (n − 1) × 5
  • 120 ÷ 5 = n − 1
  • 24 = n − 1
  • n = 25

Options 22, 23, and 24 do not satisfy the formula, so the correct answer is 25.

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