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

Solve the following system of equations by substitution and select the correct answer below: 6x − 4y = 36 2x − 8y = 32 x = 4, y = 3 x = 4, y = −3 x = −4, y =
What was the mission of al-Qaeda?
facts on Jason Scarpace
How does the Tenth Amendment benefit you today? You will have the right to a jury trial if accused of a crime. It allows state governments to provide free educa
Puritans believed that salvation depended on
what is 25 times 50?
Indira Gandhi (Nehru's daughter) witnessed all of the following during her tenure as prime minister EXCEPT a advances in economic productivity. b ethnic unity.
Which organelle breaks down sugar molecules that supply energy to the cell
What did the Social Security Act and the Work Progress Administration have in common regarding employment for young people? They gave younger workers more right
The words "high altitudes, harsh climate, and few trees" describe which United States ecosystem? Alpine Deciduous forest Desert Grassland