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16-07-2020
Mathematics

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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.

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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.

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