Question

find the 20th term of the GP 1,1.04,1.0816...​

Answer 1

Step-by-step explanation:

Consider a GP with first term equal to a and common ratio equal to r. The second term will be arar, the third term will be ar2ar2, the fourth term will be ar3ar3, the tenth term will be ar9ar9, and so on. Clearly, the nth term will be the product of a and r to the power:

Tn=arn−1Tn=arn−1

For example, consider the following GP:

14,18,116,132,...14,18,116,132,...

The first term of this GP is a=14a=14, and its common ratio is r=12r=12. Let us calculate some particular terms of this GP:

T7=ar6=(14)×(12)6=128T11=ar10=(14)×(12)10=1212T