Answer:
Step-by-step explanation:
Let call the term as [tex]a_i[/tex]. You have the sequence; 10, 7, 4. ........ , -62 with [tex]a_1 = 10[/tex]
Now, calculate [tex]a_2, a_3,.....[/tex]so you can see the pattern,
[tex]a_2 =a_1 - 3[/tex] or [tex]a_2 = a_1 - 1(3)[/tex]
[tex]a_3= a_2 - 3 = (a_1 -3) -3 = a_1-2 (3)[/tex]
[tex]a_4 = a_1 - 3(3)[/tex]
continue the pattern, you can find any a. Now, if you need [tex]a_{11}[/tex], then
[tex]a_{11}= a_1 - 10 (3) =10 -30 = -20[/tex]
Hope you can learn something from this method
