Q. 3 B4.2( 5 Votes )

Write the next three terms of the following sequences:

for all

Answer :

Given: t1 = 3 and tn = 3tn-1 + 2


Now, we have to find next three terms i.e. t2, t3 and t4


Taking n = 2, we get


t2 = 3t2-1 + 2


= 3t1 + 2


= 3(3) + 2 [given: t1 = 3]


t3 = 9 + 2


t3 = 11 …(i)


Taking n = 3, we get


t3 = 3t3-1 + 2


= 3t2 + 2


= 3(11) + 2 [from (i)]


= 33 + 2


t3 = 35 …(ii)


Taking n = 4, we get


t4 = 3t4-1 + 2


= 3t3 + 2


= 3(35) +2


t5 = 105 + 2


t5 = 107 [from (ii)]


Hence, the next three terms are 11, 35 and 107.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Arithmetic Progression34 mins
Champ Quiz | Arithmetic Progression30 mins
Lets Check Your Knowledge in A.P.49 mins
NCERT | Fundamental Theorem Of Arithmetic45 mins
Fundamental Theorem of Arithmetic- 143 mins
Quiz on Arithmetic Progression Quiz32 mins
Arithmetic progression: Previous Year NTSE Questions34 mins
Get to Know About Geometric Progression41 mins
NCERT | Solving Questions on Introduction of A.P42 mins
Arithmetic Progression Tricks and QUIZ37 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses