flowerfacemeow flowerfacemeow
  • 22-06-2016
  • Mathematics
contestada

What is the fourth term of the expansion of the binomial (2x + 5)^5?

Respuesta :

padawan
padawan padawan
  • 22-06-2016
from pascal's pyramid
4th term of 5th order is 10
(coefficient - let's call c)

for (a + b)^n the m-th term is
c[a^(n-m+1)][b^(m-1)]

sample (a + b)^3
1st term : c1(a^3b^0) = c1a^3
2nd term : c2(a^2b^1)
3rd term : c3(a^1b^2)
4th term : c4(a^0b^3) = c4b^3

..notice order of 2 variables
one decreases from max to 0, the other increases from 0 to max AND
sum of orders in each term must equal to the order of the binomial

for (2x + 5)^5 , 4th term is
10[(2x)^(5-4+1)][5^(4-1)]
= 10[(2x)^2][5^3)]
= ...
Answer Link

Otras preguntas

Mark got 14 problems wrong on his test. His score was 72% correct. How many problems were on the test? Please show work.
Angiosperms _____. have flowers have cones are nonvascular are seedless
Why does fluid pressure increases with depth?
Which type of triangle is formed with the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices?
• Should government take a more aggressive role in reshaping the health care system or should the economy be allowed to continue exerting market-driven reforms?
Which type of triangle is formed with the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices?
What Was Mahatma Gandhi's Job?
Which statements accurately describe the Persian Wars?Choose all answers that are correct. A. Athens decisively defeated the Persians at the Battle of Marathon.
what is "I go to school at 8:00" in French
What were men or woman admired for brave deeds called in ancient times?