patrickgeraldta
patrickgeraldta patrickgeraldta
  • 25-06-2016
  • Mathematics
contestada

What is the recursive formula of:
6,7,7.5,7.75,7.875,7.9375

Respuesta :

caylus
caylus caylus
  • 27-06-2016
Hello,

[tex] a_{1}=6 [/tex]
[tex] a_{2}=7=a_{1}+1 [/tex]
[tex] 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} [/tex]

[tex] a_{n}=a_{1}+\frac{(\frac{1}{2})^{n}-1}{\frac{1}{2}-1}=a_{1}+\frac{2^n-1}{2^{n-1}}[/tex]
















Answer Link

Otras preguntas

If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie? Trapezoid formed by ordered pairs A at n
can somebody help me please this is due tomorrow
Which graph represents the intequality x > 2?
Help me Solve solve this please right answer I’ll give brainlist to.
I am having a hard time with -2 18/17
Which statement BEST describes how the government of ancient Rome influenced the United States? A. It was a republic. B. It prohibited slavery. C. It allo
The taxi ride costs $3.00 plus $0.50 cent more for each quarter mile traveled. What was the cost for a 2 mile trip?
Kaila_____refused to play with the young boys, claiming she was so much older and more mature. * A balmy B loftily C brazen D impeccably
write a linear equation that has (a) no solutions and (b) infinitely many solutions. Justify your answer
If you were the governor of a state in the direct path of a Hurricane, how would you prepare the city for a Category 5 Hurricane? at least 3-4 sentences REQUIRE