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

what are some examples of magnetic properties?
Round off 365 344 to the nearest hundred thousand
What happens to glucose inside a cell during cellular respiration
If x^2 = 60, what is the value of x?
3-6n = 21 The answer is n=4 but I want to know how to get there.
Dice que de ni?a apenas se enfermaba. cierto falso tiene dolor de garganta y fiebre. cierto falso olvidó ponerse un suéter anoche. cierto falso hace tres días q
Tell if the events are independent or dependent. Explain your reasoning. Mr. O’Leary gets heads on a coin toss and then gets tails by tossing the same coin aga
What ability does IT lack? A. the ability to reason B. the ability to get angry C. the ability to communicate D. the ability to love
Worth 25 + heart. A camel that weighs 1500 pounds can drink up to 20% of its weight in water at one time. How many pounds of water can the camel drink at one ti
who is the father of northern Christian humanism?