Sample Question #69 (mathematics)

Solve

a^{0}+ a^{1}+ a^{2}+ a^{3}+ … + a^{n}

where *n *is a natural number and *n *> 1.

Similar question: what if *n *is infinity?

(Hint: solve the infinity case first)

Advertisements

Sample Question #69 (mathematics)

Solve

a^{0}+ a^{1}+ a^{2}+ a^{3}+ … + a^{n}

where *n *is a natural number and *n *> 1.

Similar question: what if *n *is infinity?

(Hint: solve the infinity case first)

Advertisements

%d bloggers like this:

I’ll give you the answer for when n is infinity.

Write s = a0 + a1 + a2 + a3 + … . Multiply both sides by a, then subtract the two equations. As you get the final formula, you need to explain what condition a must satisfy for s to make sense. For example, if a>=1, the sum goes to infinity! Now, what if a=-0.2?

To solve the first question, you need to do a little deduction (hint: start summing at n+1). Shouldn’t be difficult.