Given the linear pattern: $$ x ; y ; 83 ; 80 ; \ldots \ldots $$. 3.2.1 Calculate the values of $$ x $$ and $$ y $$. 3.2.2 If $$ x=89 $$ and $$ y=86 $$, determine the general term of this pattern. 3.2.3 Calculate the value of $$ T_{1000} $$. 3.2.4 Which term is the first one to be less than -14908 ?

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### Problem 3.2.1: Calculate the values of $$ x $$ and $$ y $$.

Given the linear pattern (which indicates an arithmetic sequence):
$$ x ; y ; 83 ; 80 ; \ldots $$

An arithmetic sequence has a common difference $$ d $$ between consecutive terms.

1. **Determine the common difference $$ d $$:**
   $$
   d = 80 - 83 = -3
   $$

2. **Find $$ y $$ using the common difference:**
   $$
   y = 83 - d = 83 - (-3) = 86
   $$

3. **Find $$ x $$ using the common difference:**
   $$
   x = y - d = 86 - (-3) = 89
   $$

**Answer:**
$$
x = 89 \quad \text{and} \quad y = 86
$$
$$ x = 89 $$ and $$ y = 86 $$.

Given the linear pattern: .
3.2.1 Calculate the values of and .
3.2.2 If and , determine the general term of this pattern.
3.2.3 Calculate the value of .
3.2.4 Which term is the first one to be less than -14908 ?

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Given the linear pattern: . 3.2.1 Calculate the values of and . 3.2.2 If and , determine the general term of this pattern. 3.2.3 Calculate the value of . 3.2.4 Which term is the first one to be less than -14908 ?