Question

Write the first 3 terms of the following if a=4 and r=3

Answer 1

Answer:

GP= 4, 12, 36 (first 3 terms)

Step-by-step explanation:

In your question I didn't understand "of the following" but to get a clear idea I had solved using the values you have noted in this question.

In a GP, common ratio = second term/first term

so, in this question common ratio is given as 3(r=3) and the first term is given as 4(a=4)

*first term=4

*to find the second term:

  common ratio = second term/first term

=>          3           =   second term/4

=>second term = 12

*to find third term

common ratio=third term/second term

=>      3           =third term / 12    

=>third term= 36

Therefore the first three terms of this GP =  4, 12, 36.      

Or you can solve in another way (simplest method)

as the first term is 4 if you multiply it with the common ratio you get the same answer.

so, first term =4

second term= r x 4  = 3 x 4= 12  

Third term= r x second term= 3 x 12=36.

Therefore the first three terms of this GP =  4, 12, 36.

Hope it helps:)