formulas chapter 7 Flashcards
1
Q
How to find the nth term in geometric series
A
aₙ =a₁ r ⁿ⁻¹
r is the common ration and a₁ is the first term
2
Q
how to find the sum of a finite geometric series
A
a₁ times ( 1-rⁿ) / (1-r)
3
Q
How to find the sum of an infite geometric series if absoluate value of r is <1
A
a₁ / 1-r
4
Q
What happens when an infinite geometric series with an absoluate value common ratio that is greater than 1
A
It diverges and has no sum
5
Q
How to find the nth term of an arithmetic sequence
A
aₙ= a₁ +d (n-1)
a1 is the first term and d is the common difference
6
Q
The sum of a finite arithmetic sequence
A
Sₙ = n / 2 ( a₁ + aₙ)
7
Q
A
