Multiple choice

How many terms are there in the series $201, 208, 215,..., 369$ ?

  1. $23$
  2. $24$
  3. $25$
  4. $26$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This is an arithmetic progression with a=201, d=7, and last term l=369. Using l = a + (n-1)d: 369 = 201 + (n-1)7. 168 = (n-1)7. 24 = n-1, so n = 25.

AI explanation

The series is an arithmetic progression with the first term a = 201, the last term l = 369, and the common difference d = 7. Using the formula for the number of terms, n = ((l - a)/d) + 1, we find n = ((369 - 201)/7) + 1. This simplifies to (168/7) + 1, which equals 24 + 1, giving 25 terms.

Keep practicing — related questions