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find the 4th term if the sequend in which a 1 = 2 and a n+1 = -4a n + 2

The fourth term is -102

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Explanation:

The term after the nth term is generated by this rule   which means that we first
Step 1) multiply the nth term ( ) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence

Let's follow those steps above to generate the first four terms

The first term is . In short, the first term is 2

The second term is...





So the second term is -6

The third term is...





The third term is 26

Finally, the fourth term is...





The fourth term is -102.

The answer is part a: use