djy5qvx5ri djy5qvx5ri
  • 06-02-2021
  • Mathematics
contestada

A finite arithmetic sequence has 12 termsThe last term is 100 and the common difference is 3. What is the first term?

Respuesta :

Eduard22sly
Eduard22sly Eduard22sly
  • 11-02-2021

Answer:

67

Step-by-step explanation:

From the question given above, the following data were obtained:

Number of terms (n) = 12

Last term (L) = 100

Common difference (d) = 3

First term (a) =?

We can obtain the first term of the arithmetic sequence as follow:

L = a + (n – 1)d

100 = a + (12 – 1)3

100 = a + (11)3

100 = a + 33

Collect like terms

100 – 33 = a

a = 67

Therefore, the first term of the arithmetic sequence is 67

Answer Link

Otras preguntas

Hey guys I need help. These questions I did not learn before!!!
Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form
A 330-kg piano slides 3.6 m down a 28 \incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. the coefficient of fric
3 plane tickets to Orange County cost $328
What are five features that erosion forms along a river?
Disproportionation is a process in which a substance
When world war i broke out, the united states declared its policy of neutrality. was the united states ever neutral in the conflict, and if so?
A 175-pound cyclist burns 672 calories for every hour of cycling . Round the number of calories to the nearest hundred then estimate. About how many calories wo
Which is the best summary of paragraph three of the iroquois constitution? the tree of great peace has spreading roots. the tree of great peace represents the i
Solve for 10 - 6x - 9x^2 = -9x10−6x−9x ​2 ​​ =−9x