ronaforouzan ronaforouzan
  • 03-08-2019
  • Mathematics
contestada

Find the sum of the arithmetic sequence. 3, 5, 7, 9, ..., 21

Respuesta :

conjusts
conjusts conjusts
  • 03-08-2019

The answer is:

120

Given the arithmetic sequence

3, 5, 7, 9, ..., 21

The first term a = 3 & a common difference d = 5 - 3 = 7 - 5 = ... = 2

If there are n number of terms in the above A.P. then last term l = 21 will be the nth term given as:

l = a + (n - 1)d

21 = 3 + (n − 1)2

n = 10

Hence the sum of given arithmetic progression (A. P.) up to 10 terms is given general formula.

Sn = n/2(a + l)

S10 = 10/2(3 + 21)

= 120

Answer Link

Otras preguntas

Three strong cables are used to brace a 20m tall pole against movement due to the wind. Each cable is attached so that the angle of elevation to the top of the
A line passes through the points (-1, 4) line? and (2, -2). What is the equation of this
it takes mike 30 minutes to get to work, and 30 minutes to get back how long does it take him all together
Rayann has 4 bracelets, Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has
What is the best way to correct the following confusing pronoun antecedent? Brandon made him steak and potatoes for dinner. A. Brandon made Brandon steak and po
0.79 ( ) 0.7 which is greater
Please answer the question in the picture
Who was the power that Americans believed controlled their destiny?​
Brent counted 5 red cards, 10 black cards, and 20 blue cards in a deck of cards. What is the ratio of blue cards to red cards?
Please help meeeee for 10 points