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

Below is a passage from Anti-Federalist Paper #84 written by Brutus, "With equal truth it may be said, that all the powers which the bills of rights guard again
g Two Mendelian traits in pea plants that are controlled by single genes are the color of the pods and pod shape. For pod color, green pods (G) are dominant and
You need to write a soft news story about a high school football team’s season. Here are some of the facts you’ve collected. Mason High School football team won
In the figure below X
Oliver's family took a 4-hour-and-30-minute trip on a train. They left at 7:30 a.m. What time did Oliver's family arrive?
WILL GIVE BRAINLILEST How does the Great Migration connect to the Harlem Renaissance? (1-2 Sentences)
A rectangle has a length of 8ft and a width of 4ft, what is the area of the rectangle in square feet?
Which benchmark is between 7/8 and 7/4 A: 1/2 B: 1
What President made it his mission to improve American roads?
Plz helpppppppppppp!!!!!!!