To find the second term of the arithmetic sequence defined by the recursive formula:

1. The first term is given as \( a_1 = 22 \).
2. The recursive formula for the sequence is \( a_n = a_{n-1} - 10 \).

Using this information, let's find the second term \( a_2 \):

\[
a_2 = a_1 - 10
\]
\[
a_2 = 22 - 10
\]
\[
a_2 = 12
\]

Therefore, the second term of the sequence \( a_2 \) is \( 12 \).
make this like a 8yh grader wrote it

1 answer

To find the second term of the arithmetic sequence, we start with the information we have:

  1. The first term is \( a_1 = 22 \).
  2. The formula to find the next term is \( a_n = a_{n-1} - 10 \). This means to get the next term, we take the previous term and subtract 10 from it.

Now, let's find the second term, \( a_2 \):

Using the formula, we can write:

\[ a_2 = a_1 - 10 \]

Now, we plug in the value of the first term:

\[ a_2 = 22 - 10 \]

So when we do the subtraction:

\[ a_2 = 12 \]

That means the second term of the sequence, \( a_2 \), is \( 12 \).

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