Question

In: Math

If the first term is 10 and the common ratio of a GP is 3, then write the first five terms of GP.

If the first term is 10 and the common ratio of a GP is 3, then write the first five terms of GP.

Solutions

Expert Solution

First term, a = 10

 

Common ratio, r = 3

 

We know the general form of GP for first five terms is given by:

 

a, ar, ar2, ar3, ar4

 

a = 10

 

ar = 10 × 3 = 30

 

ar2 = 10 × 32 = 10 × 9 = 90

 

ar3 = 10 × 33 = 270

 

ar4 = 10 × 34 = 810

 

Therefore, the first five terms of GP with 10 as the first term and 3 as the common ratio are:

 

10, 30, 90, 270 and 810

 

 

 

 


Therefore, the first five terms of GP with 10 as the first term and 3 as the common ratio are:

 

10, 30, 90, 270 and 810

 

 

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