Q. 55.0( 1 Vote )

# Find the first five terms of the sequence given by a1 = 2, a2 = 3 + a1and an = 2an-1 + 5 for n>2.

Given that a1 = 2, a2 = 3 + a1 and an = 2an-1 + 5 for n > 2.

Now, a1 = 2

a2 = 3 + a1 = 3 + 2 = 5

a3 = 2a2 + 5 = 2(5) + 5 = 10 + 5 = 15

a4 = 2a3 + 5 = 2(15) + 5 = 30 + 5 = 35

a5 = 2a4 + 5 = 2(35) + 5 = 70 + 5 = 75

The required terms of sequence are 2, 5, 15, 35 and 75.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz:Euclid's Division Lemma44 mins
Fundamental Theorem of Arithmetic-238 mins
Champ Quiz | Fundamental Principle Of Arithmetic41 mins
Fundamental Theorem of Arithmetic- 143 mins
NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins
Euclids Division Lemma49 mins
Quiz | Imp Qs on Real Numbers37 mins
Application of Euclids Division Lemma50 mins
Relation Between LCM , HCF and Numbers46 mins
Quiz | Fun with Fundamental Theorem of Arithmetic51 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