Kaelsdyane Kaelsdyane
  • 03-02-2020
  • Mathematics
contestada

If the 1st and 10th terms of geometric sequence are 4 and 100, find the nth term of the sequence

Respuesta :

beritogwu beritogwu
  • 03-02-2020

a = 4 first term, r = ?, T10 = 100.

Tn = ar^n - 1 formula for g.p

T10 = 4r^ 10 - 1

100 = 4r^9

Divide both side by 4

100/4 = 4/4r^9

25 = r^9 take the 9th root of both side

9√25 = 9√r^9

r = 9√25

To find the nth term

Since Tn = ar^n - 1

Answer Link

Otras preguntas

Which of the following is a true statement? A perfect square is a number who's square root is an even number. To square a number, multiply the number by 2. The
PLEASE HELP!!!A group of friends are doing some archery.When Brian fully stretches the bow, it stores 10 J of energy.Describe the energy transfer that occurs as
OPEN ENDED QUESTION Rewrite the following problem using commutative property of addition: -3 + 7
What is actually expanding in our universe
I NEED HELP ASAPP PLEASE THIS IS DUE FOR SCHOOL PLEASE HELP ASAP and I don't have a calculator at home so I can't do this 2{3+10/2+62-(4+2)}
how would you feel if you were samuel anointing saul as king?
5(x + 6) - 2x = 3(x + 10)
Lucy took 3000 feet above ground level. She found a good thermal
Larissa is measuring fabric to make a homecoming banner. She knows that the fabric is 1 and 1/2 yard wide. If she wants her banner to have an area of 3 and 1/4
During the summer months the water level in Marthas pool decreases by about 1/2 inch each day due to evaporation which equation shows the approximate total chan