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 do you need to go skating?A. bolosB. pelotasC. patinesD. juegos
30% off shoes for 432.43 estimate price
If the formula for the perimeter of a rectangle is P=2l+2w, then w can be expressed as
Whenever the boat is underway properly sized pfds must be worn by children of what age in georgia?
Does anyone know this math problem?
Et tu, Brute is a Latina phrase to describe what
what might have been the advantages and disadvantages of the santa fe trail in the 1800s
Based on the information provided in the charts above and your knowledge of social studies, which of the following countries most likely has the highest level o
. Which is likely to cause a population’s density to increase? lack of water plenty of food high death rate disease outbreak
The Companionship blueprint for marriage is what?