Respuesta :
Answer:
Hence, the third term of the sequence is:
4
Step-by-step explanation:
We are given a recursive formula as:
[tex]a_n=\dfrac{2+a_{n-1}}{2}[/tex]
We are given first term of the sequence as:
[tex]a_1=10[/tex]
Now, we are asked to find the third term of the sequence.
i.e. [tex]a_3[/tex]
Now, using recursive formula we have:
[tex]a_2=\dfrac{2+a_1}{2}\\\\a_2=\dfrac{2+10}{2}\\\\a_2=\dfrac{12}{2}\\\\a_2=6[/tex]
Similarly,
[tex]a_3=\dfrac{2+a_2}{2}]\\\\a_3=\dfrac{2+6}{2}\\\\a_3=\dfrac{8}{2}\\\\a_3=4[/tex]
Hence, the third term of the sequence is:
4
