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Answer:
x2+3x -28 =0
Step-by-step explanation:
solving Quadratic Equation by factoring
Answer:
First, let's determine the number of terms in the sequence:
[tex]n = \frac{\text{Last term} - \text{First term}}{\text{Common difference}} + 1[/tex]
[tex]n = \frac{696 - 36}{11} + 1[/tex]
[tex]n = \frac{660}{11} + 1[/tex]
[tex]n = 60 + 1[/tex]
[tex]n = 61[/tex]
Next, we find the sum of the sequence using the formula:
[tex]{\text{Sum} = \frac{\text{Number of terms}}{2} \times (\text{First term} + \text{Last term})}[/tex]
[tex]\text{Sum} = \frac{61}{2} \times (36 + 696)[/tex]
[tex]\text{Sum} = 30.5 \times 732[/tex]
[tex]\text{Sum} = \boxed{22386}[/tex]
Therefore, the sum of the sequence from 36 to 696 with a common difference of 11 is 22,386.