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

A solid substance was tested in the laboratory. The test results are listed below. • dissolves in water • is an electrolyte • melts at a high temperature Based
The hacienda system in Latin America most closely resembled a. communist states. b. feudal systems. c. modern parliaments. d. direct democracies.
An example of data that a historian would use is _____. weather data pictorial data mineral data
find the value of each expression?7. 3two the 4 power
The lungs contain elastic muscle tissue to permit inhalation.
Which of the following oceans separates North America and Asia? Arctic Atlantic Pacific Southern
Which term means the weight of air measured in units of force per area? A. air pressure B. air viscosity C. relative pressure D. air resistance
a change of DNA in an organism result a new trait is known as a?
Anais bought 2 1/2 yards of ribbon. She had 1 foot 6 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the cur
Simplify write equivalent expressions. 4-2+(3b+6)