deepboi2005 deepboi2005
  • 17-08-2020
  • Mathematics
contestada

What is the sum to 'n' terms of the series √5,√20,√45,√80,.....?

Respuesta :

mhanifa
mhanifa mhanifa
  • 18-08-2020

Answer:

Sₙ = √5/2 n (n + 1)

Step-by-step explanation:

Given AP:

  • √5,√20,√45,√80,...

Rewriting as:

  • √5,√4*5,√9*5,√16*5,...
  • √5, 2√5, 3√5, 4√5,..., n√5

Common difference:

  • d= 2√5 - √5 = √5

Sum of n terms:

  • Sₙ = 1/2n (a₁ + aₙ) =
  • 1/2n (√5 + √5 + (n-1)√5) =
  • 1/2n (n + 1)√5=
  • √5/2 n (n + 1)

Sₙ = √5/2 n (n + 1)

Answer Link

Otras preguntas

Which polynomials are prime? Check all that apply. 15x2 + 10x – 9x + 7 20x2 – 12x + 30x – 18 6x3 + 14x2 – 12x – 28 8x3 + 20x2 + 3x + 12 11x4 + 4x2 – 6x2 – 16
Use the following terms in a paragraph about the presidency of John Adams. a. alien b. sedition c. nullify d. states' rights
When two forces are _____ there is a change in position or motion
In a famous story, a wise man in India requests a reward promised by his king. The wise man shows the king a chessboard having 64 squares. "Put 1 grain of rice
why was music an important art in Sumer?
If 60% of a number is 18 what is 90% of the number
I need help!!!!! Square root of 54
at dinner jeremy and his friend spent $24. They left a 20% tip and then split the cost. How much did each person pay?
What are the three main ideas associated with Newton's second law of motion
Will upvote!!!!!!!! I need help!!!!!! What are some examples of objects by which you can browse in the Select Browse Object options? Word 2010