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Elenna [48]
3 years ago
5

10x=-3-8x^2 Solve by factoring

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

10 x = -3 -8 x²

Step-by-step explanation:

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RoseWind [281]

Answer:

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\displaystyle S_n=\frac{7n+3n^2}{2}

Step-by-step explanation:

<u>Arithmetic Sequences </u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

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an = nth term

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The sum of the n terms of an arithmetic sequence is given by:

\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n

We are given the first two terms of the sequence:

a1=5, a2=8. The common difference is:

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a_n=5+(n-1)3=5+3n-3=2+3n

\boxed{a_n=2+3n}

The formula for the sum is:

\displaystyle S_n=\frac{5+2+3n}{2}\cdot n

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\boxed{\displaystyle S_n=\frac{7n+3n^2}{2}}

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