ayomidefarotimi3 ayomidefarotimi3
  • 16-07-2020
  • Mathematics
contestada

the common ratio of a g.p is 3. given that the 5th term is greater than the first term by 400 what is the fifth term of the g.p.
​

Respuesta :

PollyP52 PollyP52
  • 16-07-2020

Answer:

405.

Step-by-step explanation:

First term = a1

5th tern = a1 r^4

So a1r^4 - a1  = 400       r = 3 so:

3^4 * a1 - a1 = 400

a1(81-1) = 400

80a1 = 400

a = 5

Therefore the fifth term =  5* 3^4

= 405.

Answer Link

Otras preguntas

write the following ratio in simplest form : 32 min : 36 min A. 8 : 9 B. 8 : 36 C. 32 : 9 D. 128 : 144
What's the answer to 1\2x+3=9
who made dutch claims in north america?
What's the answer to 1\2x+3=9
what is a rational number between 1/8 and 1/4?
Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2. A) y = 1/2 x + 5 B) y = 1/2 x - 3 C) y = 1/2 x - 5 D)
if 4 bags of corn can feed a herd of cows for 6 days, how many bags will feed the herd for 9 days ?
Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2. A) y = 1/2 x + 5 B) y = 1/2 x - 3 C) y = 1/2 x - 5 D)
what can turn igneous rock into sediment?
what can turn igneous rock into sediment?