Answer: I GOT YOU!!!
Step-by-step explanation:
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The recursive rule of the sequence is [tex]a_n = 2 * a_{n-1} +a_{n - 2}[/tex] and the 7th term is 268
The sequence is given as
{2,3,8,19,46,...}
So, we have:
Following the above sequence, the nth term of the sequence is:
[tex]a_n = 2 * a_{n-1} +a_{n - 2}[/tex]
For a7, we have:
[tex]a_7 = 2 * a_{7-1} +a_{7 - 2}[/tex]
This gives
[tex]a_7 = 2 * a_{6} +a_{5[/tex]
Substitute known values
[tex]a_7 = 2 * a_{6} +46[/tex]
a6 is calculated using:
[tex]a_6 = 2 * a_{5} +a_4[/tex]
So, we have:
[tex]a_7 = 2 * (2 * a_{5} +a_4) + 46[/tex]
Substitute known values
[tex]a_7 = 2 * (2 * 46 +19) + 46[/tex]
Evaluate
a7 = 268
Hence, the recursive rule of the sequence is [tex]a_n = 2 * a_{n-1} +a_{n - 2}[/tex] and the 7th term is 268
Read more about sequence at:
https://brainly.com/question/24643676
