schlickerk225 schlickerk225
  • 04-07-2020
  • Mathematics
contestada

In an arithmetic series, what is the sum of the first 22 terms if the first term is 12 and the common difference is 3?

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 04-07-2020

Answer:

561

Step-by-step explanation:

an = dn - (a-d)

The difference is 3.

The first term is 12.

an = 3n - (12-3)

an = 3n - 9

Put n as 1, 2, 3, 4, 5 ....22.

3(1) - 9 = -6

3(2) - 9 = -3

3(3) - 9 = 0

3(4) - 9 = 3

3(5) - 9 = 6

...

3(22) - 9 = 57

Add the first 22 terms.

-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57

= 561

Answer Link

Otras preguntas

It took Peter 3 hours to drive to his friend in Connecticut when he was driving with the average speed 54 mph. How much time will the way back take if Peter dri
what is the value of x when f(x)=7? the function or whatever is f (x) =x^3 - 1
what countries imperialized northern and central asia, central america, south america, and southern asia
Help !!!!!!!!!!!!!!!!!!!!!!
I need help with number 6
is there any treatment for marks condition ? the echo maker?​
The point-slope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1=1/4(x-12). What is the standard form of the equation for this li
I need help someone please read this and comment on the doc thanks! Will be in comment section!
PLZ HELP!!!! A circle has a diameter of 5 inches show your work to find to fallowing (use 3.14 for pi) A) area of circle B) circumference of the circle
Spain, Portugal, and other European countries were in a competition to find A. A sea route to the Indies B. New food crops C. The United States of America D. A