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

Solve for x/4-x+2/6=x/3
please help :-( thanks
What is social Darwinism and how was it tied to imperialism?
Which statement accurately describes the Battle of Marathon?   A. Athens fought alone against Darius's army and decisively defeated the Pers
How do you use Bill of rights in a sentence
does anybody know how to write 45/70 in simplest form????
what are facts on Loyalists?
True or false. If a line L1has equation y = mx + b, where m and b are constants with m ≠ 0, then an equation of a line L2 perpendicular to L1 has the form y = -
What Is a Zionist? Please help me :)
A uniform wire is cut into 4 segments. Each segment is twice as long as the earlier segment. If the shortest segment has a resistance of 4 ohm, find the resista