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maria [59]
3 years ago
10

Can u guys help me please ?‍♀️

Mathematics
1 answer:
Over [174]3 years ago
7 0

Answer:

r = 8 ft

Step-by-step explanation:

The formula for circumference of a circle is

C = 2 * pi *r

We know the circumference is 16 pi

16 pi = 2 pi r

Divide each side by 2pi

16 pi /2 pi = 2 pi r / (2pi)

8 = r

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3 0
2 years ago
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

a_{n} = a_0 + (n-1)d

In which d is the common difference.

Sum of the first n terms:

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

S_{n} = \frac{n(a_1+a_n)}{2}

ai = ai-1 + 6

This means that d = 6

In this question:

Sum of the first 800 terms, so n = 800

First term is -53, so a_1 = -53

The 880th term is:

a_{880} = -53 + (880-1)*6 = 5221

Sum

S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920

The sum of the first 880 terms in the sequence is 2,273,920.

4 0
3 years ago
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