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

What is the next number of the pattern. 2 7 26 101 400
Which is a solution to the equation y=5x-6
Rheumatic fever is a bacterial disease that can result in degeneration of heart valves that would cause?
The specific temperature at which a substance changes from a liquid to a gas is an example of a
What Is a Zionist? Please help me :)
What positive and negative traits does Odysseus demonstrate in his adventure with the Cyclop's?
Which word correctly completes the sentence? The white-tailed __________ fawn followed closely by her side.  A.deer's  B.deers  C.deers'
what's the square root of 135
What is the World's Largest Rainforest?
A uniform wire is cut into 4 segments. Each segment is twice as long as the earlier segment. If the shortest segment has a resistance of 4 ohm, find the resista