sommersimam sommersimam
  • 02-12-2017
  • Mathematics
contestada

The sum of 5 consecutive odd numbers is 135. What is the second number in this sequence?

Respuesta :

texaschic101
texaschic101 texaschic101
  • 02-12-2017
5 consecutive odd numbers : x, x + 2, x + 4, x + 6, x + 8

x + x + 2 + x + 4 + x + 6 + x + 8 = 135.....combine like terms
5x + 20 = 135
5x = 135 - 20
5x = 115
x = 115/5
x = 23

x + 2 = 23 + 2 = 25 <== this is the 2nd one
x + 4 = 23 + 4 = 27
x + 6 = 23 + 6 = 29
x + 8 = 23 + 8 = 31
Answer Link
carlafossil320
carlafossil320 carlafossil320
  • 02-12-2017
Any even number is 2n. Therefore, 2n+1 is an odd number. Apply this logic: 
(2n+1)+(2n+3)+(2n+5)+(2n+7)+(2n+9)=135
10n+25=135
10n=110
n=11
So the second number in the sequence is 2n+3= 25.
Answer Link

Otras preguntas

Alejandra has five hair ribbons measuring 8,13,11,9, and 13 inches long what is the median length of the ribbons
round to the nearest hundredth. 84.562
Chemical equation of photosynthesis?
What factors shaped American imperialism?
how do you write 35.2 in word form?
Simplify by combining like terms ... i need help sadly ... 1) 5a-a 2) 5 divide 10s - 8s 3) 2a + 3b + 4a
Express as a unit rate: 2400 miles in 48 hours.
A pitcher on a baseball team has pitched 98 2/3 innings. What is the number of innings written as a decimal?
Why did the Europeans want a new allwater route to Asia? How did the renaissance encourage voyages of exploration
find a whole number x in x/113 so that the ratio is a good estimate for pi