Multiple choice

There are 12 terms in a sequence denoted by T1, T2, T3, … , T12. If T3 = 10, and the sum of any four consecutive terms is 50, find the value of T1 + T6 + T12.

  1. 20

  2. 30

  3. 40

  4. Cannot be determined

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given sum of any four consecutive terms is 50. T1+T2+T3+T4 = 50 and T2+T3+T4+T5 = 50 implies T1 = T5. Similarly, T5 = T9. Also T3 = 10. The pattern repeats every 4 terms. T1+T6+T12 = T1 + T2 + T4 = 50 - T3 = 40.