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

50 POINTS ITS EASY write 2 paragraphs about HOW SOMEONE WHO decides not to follow along with the behavior of a group BRAVE. Give TWO examples from a movie or a
How many molecules and atoms in 6 moles of P203?
Jonothan edwards would most likely agree with which of the following statements A. Those who profess devotion must declare so publicly, loudly and often. B. T
what number must you subtract from -13 to get a difference of 0? so i know the answer to this part; its -13 but i dont know how i got that answer like i dont kn
2+2×2=?.............. pls help..............​
What is a reference point? O A. The origin of an xy coordinate grid B. The location of an object after it has been in motion C. The location where the direction
Help please Please Please Please
/c/Mzc3Nzg1NTgzMzA3/a/MzkzODk3NzU5MDk3/details
Make a number that has a 3 that is 10 times the value of the digit 3 in 74,381
I need help with this ASAP