Recursively, Mathematics

Assignment Help:

Let a0, a1 ::: be the series recursively defined by a0 = 1, and an = 3 + an-1 for n ≥ 1.

(a) Compute a1, a2, a3 and a4.

(b) Compute a formula for an, n ≥ 0.

(c) Use induction to show that your formula is right. 


Related Discussions:- Recursively

Laplace transform, what is the Laplace transform of e^9(-t)^a)

what is the Laplace transform of e^9(-t)^a)

Comparison-types of word problems related to subtraction, Comparison - the...

Comparison - the difference between two groups or numbers, namely, how much one is greater than the other, how much more is in one group than in the other. (e.g., if Munna has

Alternating series test - sequences and series, Alternating Series Test - S...

Alternating Series Test - Sequences and Series The final two tests that we looked at for series convergence has needed that all the terms in the series be positive.  Actually t

Volume of grains in the silo , The volume of grains in a silo at a particul...

The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m 3 . Find the rate of change of the volume of grains in the silo from first pri

Evaluate the measure of the larger angle, Two angles are complementary. The...

Two angles are complementary. The calculate of one angle is four times the measure of the other. Evaluate the measure of the larger angle. a. 36° b. 72° c. 144° d. 18°

Sphere and cone, How tall does a cone with diameter of 10 inches have to be...

How tall does a cone with diameter of 10 inches have to be to fit exactly half of a sphere with a diameter of 10 inches inside it?

Show that the height of the opposite house, From a window x meters hi...

From a window x meters high above the ground in a street, the angles of elevation and depression of the top and the foot of the other house on the opposite side of the street  are

Equation of the line which passes through the two points, Example: Write do...

Example: Write down the equation of the line which passes through the two points (-2, 4) and (3, -5). Solution At first glance it might not appear which we'll be capable to

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd