radomes.openskiesproject.org
patrickgeraldta
patrickgeraldta patrickgeraldta
  • 25-06-2016
  • Mathematics
Answered

What is the recursive formula of:

6,7,7.5,7.75,7.875,7.9375

Verified Answer :

caylus
caylus caylus
  • 27-06-2016

Hello,

\(a_{1}=6\)
\(a_{2}=7=a_{1}+1\)
\(a_{3}=7.5=a_{2}+ \frac{1}{2}=a_{1}+1+\frac{1}{2}=a_{1}+\frac{(\frac{1}{2})^3-1}{\frac{1}{2}-1}\)

\(a_{n}=a_{1}+\frac{(\frac{1}{2})^{n}-1}{\frac{1}{2}-1}=a_{1}+\frac{2^n-1}{2^{n-1}}\)
















Answer Link

Related Questions

What is 57 divided by 710
The sale price of shrimp at a local grocery store is 115 for the first ounce and 095 for each additional ounce Which function rule shows how the cost of shrimp
Humidity is a measure of
occurs when the no rain falls for a long period of time
The root of the word conductor gives a clue that this word means
A restaurant has 57 chairsThere are 4 chairs at each table About how many tables are in the restaurant
What sort of adaptations are usually passed on to the offspring of an organism
Can u help with the last 2 problems
What is the percent of change Initial value 10 Final value 60 A 70 B 500 C 50 D 600
Rational numbers are natural numbers A always B sometimes C never