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3 years ago

Ill give brainiest for this question :D (its not multiple choice)

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Given

$\frac{6c-2}{2}$ + 2c + 11

= $\frac{6c}{2}$ - $\frac{2}{2}$ + 2c + 11

= 3c - 1 + 2c + 11

= 5c + 10

(b)

We have the expression

5c + 10 ← factor out 5 from each term

= 5(c + 2)

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3 years ago

The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).

lesantik [10]

Answer:

(a).

$S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\$

(b).

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