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

Who is California's State Attorney (NOT I REPEAT NOT!!!!!!! Xavier Becerra)?
What is the author's purpose in Common Sense? A. To warn the British to prepare for war B. To urge the colonists to assassinate the king C. To tell the king tha
sorry for the quality. please help x
What is the simultaneous use of multiple keys called? A. polytonality B. polyrhythm C. tone cluster D. atonality
What is the measure of
please help!!!!!!!!!!!!!!!!!!!
15 points if you answer the question
If you help me then i well thank you because i don’t understand
write an expression in simplified form for the area of the rectangle
Calculate the monthly payments for a home mortgage of $98,000 with a fixed APR of 6.25% for 30 years. A. $425.35 B. $561.46 C. $603.40 D. $716.31 Please show wo