Answer:
[tex]a_3=22[/tex]
Step-by-step explanation:
Given that,
a₁ = 10
[tex]a_n=a_{n-1}+6[/tex]
We can find second term first.
[tex]a_2=a_{2-1}+6\\\\=a_1+6\\\\=10+6\ (Given\ a_1=10)\\\\=16[/tex]
We need to find the third term of the above sequence. Put n = 3 in the above sequence as follows :
[tex]a_3=a_{3-1}+6\\\\=a_2+6[/tex]
Put a₂ = 16
[tex]a_3=16+6\\\\=22[/tex]
Hence, the third term of the sequence is 22.
