T1.3 Geometric sequences and series

Question 1

What is a geometric sequence/geometric progression?

Answer 1

when the ratio of 2 consecutive terms in a sequence is constant

Question 2

What is the ratio called?

Answer 2

common ratio. symblo=r

Question 3

Equation of the generic term

Answer 3

u(n)=u(1)*r^(n-1), r =/ -1,0,1

Question 4

Sum of a geometric series

Answer 4

S(n)=(u(1)*(1-r^n))/(1-r), r=/1

Question 5

What is a convergent series?

Answer 5

a geometric series is convergent when the sum tends towards a finite value as the number of terms gets bigger

Question 6

Divergent series

Answer 6

when a geometric series does not converge

Question 7

Sum of a convergent series

Answer 7

S=u(1)/(1-r)