Question

Write the first four terms of the sequence. rule start at 5 1/2, add 1 1/5

Answer 1

`5(1)/(2),6(7)/(10),7(9)/(10),9(1)/(10)`

Explanation:

The first term of the sequence is

`a_1=5(1)/(2)`

To find the second term add
`1(1)/(5)` to the first term;

`a_2=5(1)/(2)+1(1)/(5)=6(7)/(10)`

To find the third term add
`1(1)/(5)` to the second term;

`a_3=6(7)/(10)+1(1)/(5)=7(9)/(10)`

To find the fourth term add
`1(1)/(5)` to the third term;

`a_4=7(9)/(10)+1(1)/(5)=9(1)/(10)`

The first four terms are

`5(1)/(2),6(7)/(10),7(9)/(10),9(1)/(10)`