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Sagot :

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.

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