QuiSeraSera
QuiSeraSera QuiSeraSera
  • 25-08-2020
  • Mathematics
contestada

The 10th term of an AP is -27 and the 5th term is -12, what is the 18th term?
Also find the sum of its 25 terms.​

Respuesta :

Alexmagnus121
Alexmagnus121 Alexmagnus121
  • 25-08-2020

Answer:10th term: -27

5th term: - 12

d= -27+12/5

= -3

a+(n-1)d=-12

a+(5–1)d=-12

a+4d= -12

a=-12–4d

a=-12-(4×-3)

a=-12+12=0

18  term=a + (18–1)d

=0+(17×-3)

51

Answer Link
enochdemigod27
enochdemigod27 enochdemigod27
  • 25-08-2020

a+9d=-27......(1)

a+4d=-12.....(2)

make a the subject of equation 2 and put into equation 1

-12+4d+9d=-27

-12+13d=-27

d=-15\13

put d into equation 1

a+9(-15/13)=-27

a=16.6

a+17d=x

17+16.6(-15/13)

x=-2 is the 18th term

25÷2(16.6+15.6(-15/13)

=-208.4

Answer Link

Otras preguntas

Michael went to dinner with his friend. Their total was $25.70. If they left a 20% tip, what was their total
quien puede resolver solo el problema 59 , porfavor!!
What kind of reaction is this? Na + AgNO3 --> NaNO3 + Ag
Based on the z-statistic of –2.5 for the sample data, should the null hypothesis be rejected? Yes, because the z-statistic lies within the critical region. Yes,
21 What is the surface area of the figure below? 6 ft 3 ft 3 ft A 12 ft 36 ft? 54 ft? D 90 ft?
1 _ x 5 Please explain 4
Someone help? I need to get this right!
If the volume of a cone is 2355 and the height is 10 then what is the radius
Where are the most reactive nonmetals located on the periodic table?
Which of the following shows that the two composite figures cover the same area?