Question

Please awnser asap number1

Answer 1

`a_3=22`

Explanation:

Given that,

a₁ = 10

`a_n=a_(n-1)+6`

We can find second term first.

`a_2=a_(2-1)+6\\\\=a_1+6\\\\=10+6\ (Given\ a_1=10)\\\\=16`

We need to find the third term of the above sequence. Put n = 3 in the above sequence as follows :

`a_3=a_(3-1)+6\\\\=a_2+6`

Put a₂ = 16

`a_3=16+6\\\\=22`

Hence, the third term of the sequence is 22.