Problem

Find the first four terms of the sequence with first term 7 and $n$th term $a_{n}=a_{n-1}+8$.

Answer

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Answer

Final Answer: The first four terms of the sequence are \(\boxed{7, 15, 23, 31}\).

Steps

Step 1 :The problem is asking for the first four terms of a sequence. The first term is given as 7, and each subsequent term is found by adding 8 to the previous term.

Step 2 :We can find the first four terms by starting with the first term and applying the recursive formula three times.

Step 3 :The first term is 7.

Step 4 :The second term is \(a_{2} = a_{1} + 8 = 7 + 8 = 15\).

Step 5 :The third term is \(a_{3} = a_{2} + 8 = 15 + 8 = 23\).

Step 6 :The fourth term is \(a_{4} = a_{3} + 8 = 23 + 8 = 31\).

Step 7 :Final Answer: The first four terms of the sequence are \(\boxed{7, 15, 23, 31}\).

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