erwen73 erwen73
  • 21-12-2021
  • Mathematics
contestada

Write an explicit formula for an, the nth
term of the sequence 75, -15, 3, ....

Respuesta :

mhanifa
mhanifa mhanifa
  • 21-12-2021

Step-by-step explanation:

The sequence is geometric as the ratio between consecutive terms is common:

  • 3/-15 = - 1/5
  • -15/75 = - 1/5

The first term is:

  • t₁ = 75
  • r = - 1/5

The explicit formula is:

  • tₙ = t₁rⁿ⁻¹

Substitute values of the first term and common ratio to get:

  • tₙ = 75*(- 1/5)ⁿ⁻¹
Answer Link

Otras preguntas

What is the speed of light in water?
what is the arc length of a circle that has a 7-centimeter radius and a central angle that is 40 degrees? use 3.14 for n and round your answer to the nearest hu
In a survey about a new immigration law in Georgia, "46% of the 132 Georgia farmers, agricultural processors, and farm service businesses who responded said the
Can someone help me with this please
A not-for-profit organization received a donation temporarily restricted as to use. Thedonated amount was later spent in accordance with the restriction. In whi
Pls help me, show work step by step
Which graph could represent a constant balance in a bank account over time? Daily Balance Daily Balance Daily Balance Daily Balance Balance (dollars) Balance (d
alex is making a pizza. the round pizza has a 16 inch diameter. what is the area of the pizza crust needed to fill the entire pan?
Which of these situations produces the largest profits for oligopolists? a. The firms reach a Nash equilibrium. b. The firms reach the competitive outcome. c. T
Match the slope with the correct line.