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

in an A.P,the sum of first ten terms is -150 and the sum of next 10 terms is -550.Find the A.P
3 sisters, veronica, Mary and aAnna went out on a blind date with 3 brothers.  Veronica ended up holding hands with her date.  Mary certainly wasn't the one kis
Explain what force caused the movement of the continents from one supercontinent to their present positions
How are ice and water involved in mechanical weathering
what is the numerical expression for half the sum of 11 and negative  3andthe absolute value of  negative 62
What's 16.6666667 to the nearest tenth
How to show your work to solve  3r^2-16r-7=5
What's 16.6666667 to the nearest tenth
What is a protein? Describe the monomers and polymers of protein? What are the functions of proteins? What atoms make up proteins?
Nathan correctly answered 17 of the 20 questions on the test. What percent of the question did Nathan answer correctly?