captainamerica49 captainamerica49
  • 02-08-2020
  • Mathematics
contestada

If the sum of the first n terms of an AP is 1/2 (3n^2+7n),then find its nth term.Hence write its 20th term.​

Respuesta :

yesse14
yesse14 yesse14
  • 02-08-2020

Answer:

62

Step-by-step explanation:

Sn=1/2(3n^2+7n)

S1=1/2(3+7)=5

S2=1/2(3*4+7*2)=26/2=13

We know

S1=a1=5

S2=a1+a2=13

S2-s1=a1+a2-a1

13-5=a2

a2=8

We know d=a2-a1

d=8-5=3

nth term of AP =an=5+(n-1)3

an= 2+3n

Therefore 20th term =

a20= 2+3(20)=62

Hence 20th term of AP is 62

I hope this helps

Answer Link

Otras preguntas

Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or 20 feet. he places the base of the ladder 9 feet from the wall and need
Not only does topsoil erosion lead to loss of soil fertility, it can also cause ________ .
describe how you would conduct a search for a single record.
What is the relationship between glycolysis and fermentation?
As rome first dictator, which did caesar achieve?
The graph of g(x) is the graph of f(x)=x+9 reflected across the y-axis. Which equation describes g?
Compare and contrast "I Wandered Lonely as a Cloud" to Walter de la Mare's poem "The Storm." How does each poet depict nature differently? How do the themes and
Read the excerpt from "Yearbook.” "Excuse me?” Fatima, rattled by Isaac’s immediate bossiness, wasn’t sure how to appropriately respond. Isaac oppressively ba
solve k/8 + 1 - k = -19
Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures? ΔDEF ≅ ΔSUR ΔD