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

2. Find the missing term. ___, 180, 30, 5 (50 points) 1080 900 330 210
Point A is located at –24 and point C is located at 36 on the number line below. Which value would represent point B, halfway between point A and point C?
Based on the passage what are two similarities between Buddhism and Hinduism
Please help with Question #10 and preferably explain what you did, thank you!
Why did the Dutch West India Company want to establish a colony in North America?
Let a, b, c, and d be constants. Describe the possible solution sets of the inequality ax+b
what did king henry viii established when the pope refused to grant him a divorce
graph and solve the system Y=-3x+3 Y=2x-7
a written language is one component of what scholars call a
I don't get this I need help