Respuesta :

CastleRook
the explicit formula for geometric sequence is:
an=ar^(n-1)
From our sequence:
15, 3, 3/5, 3/25. . . .
first term is:
a=15
common ratio, r=3/15=1/5
thus the explicit formula for our sequence is:
an=15(1/5)^(n-1)
abidemiokin

The explicit rule for the geometric sequence is [tex]T_n = 15(1/5)^{n-1}[/tex]

What is a geometric sequence?

Geometric sequences are sequences having a common ratio.

  • Give the geometric sequence 15, 3, 3/5, 3/25. . . .

The nth term of the sequence is given as:

[tex]T_n = ar^{n-1}[/tex]

  • a is the first term
  • n is the number of terms
  • r is the common ratio

From the seuence:

a = 15

r = 3/15  = 1/5

Substitute

[tex]T_n = ar^{n-1}\\T_n = 15r(1/5)^{n-1}[/tex]

This gives the explicit rule for the geometric sequence.

Learn more on geometric sequence here: https://brainly.com/question/1509142

Otras preguntas