Question 113

The 288th term of the sequence a, b, b, c, c, c, d, d, d, d… is

Solution

Share

Here, $$\ \frac{\ n\left(n-1\right)}{2}$$(not inclusive) term to $$\ \frac{\ n\left(n+1\right)}{2}$$(inclusive) term is the nth place alphabet.   (1st place alphabet is a, 2nd place alphabet is b, and so on.) 

=> $$\ \frac{\ n\left(n-1\right)}{2}$$ < 288 < $$\ \frac{\ n\left(n+1\right)}{2}$$

=> n(n-1) < 576 < n(n+1)

n = 24 

At 24th place, x is the alphabet.

Get AI Help

Video Solution

video
View More Questions From Progressions and Series

Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 200+ previous papers with solutions PDF
  • Top 5000+ MBA exam Solved Questions for Free

SNAP Quant Questions | SNAP Quantitative Ability

SNAP Functions, Graphs and Statistics QuestionsSNAP Data Sufficiency QuestionsSNAP Venn Diagrams QuestionsSNAP Number Systems QuestionsSNAP Profit and Loss Questions

SNAP DILR Questions | LRDI Questions For SNAP

SNAP Data Interpretation QuestionsSNAP Logical Reasoning Questions

SNAP Verbal Ability Questions | VARC Questions For SNAP

SNAP Para Summary QuestionsSNAP Para Jumbles QuestionsSNAP Vocabulary QuestionsSNAP Grammar and Sentence Correction QuestionsSNAP Reading Comprehension Questions

Free SNAP Quant Questions

SNAP Venn DiagramsSNAP InequalitiesSNAP Data SufficiencySNAP Functions, Graphs and StatisticsSNAP Logarithms, Surds and IndicesSNAP Linear EquationsSNAP Profit and LossSNAP Probability, CombinatoricsSNAP GeometrySNAP Number SystemsSNAP Time, Speed and DistanceSNAP Quadratic EquationsSNAP Progressions and SeriesSNAP Averages, Ratio and Proportion

Related Formulas With Tests

Sum of special series till 'n' terms

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI