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Rus_ich [418]
3 years ago
10

What is the sum of the first 30 terms of this arithmetic sequence? 6, 13, 20, 27, 34, …

Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Answer:

3225

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a + (n - 1)d ]

where a is the first term and d the common difference

here a = 6 and

d = 13 - 6 = 20 - 13 = 7, hence

S_{30} = \frac{30}{2}[ (2 × 6) + (29 × 7) ]

                          = 15(12 + 203) = 15 × 215 = 3225

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16 3/4 hours in two days plan to work 12 3/4 hour the next two days. How many hours will u total on your time sheet for these 4
sergiy2304 [10]

let's firstly convert the mixed fractions to improper fractions and then add up all four days.

\bf \stackrel{mixed}{16\frac{3}{4}}\implies \cfrac{16\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{67}{4}}~\hfill \stackrel{mixed}{12\frac{3}{4}}\implies \cfrac{12\cdot 4+3}{4}\implies \cfrac{47}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{all 4 days summed up}}{\cfrac{67}{4}+\cfrac{47}{4}}\implies \cfrac{67+47}{4}\implies \cfrac{114}{4}\implies \cfrac{57}{2}\implies 28\frac{1}{2}

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3 years ago
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Marta_Voda [28]

Answer:

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Step-by-step explanation:

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3 years ago
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aivan3 [116]
The answer would be 
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4 years ago
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On Tuesday Donovan earned $9 for 2 hours of babysitting on Saturday he babysat for the same family and earned 31.50 how may hour
VMariaS [17]

Hi there! :)

<u>Answer:</u>

Donovan babysat for 7 hours on Saturday in order to earn $31.50.


Step-by-step explanation:

In order for you to answer your question, you'll need to use the cross product method:

$9         → 2 hours

$31.50  → X hours

<u>(2 × 31.50)</u> ÷ 9 = X hours

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<u>7 = X hours</u>


There you go! I really hope this helped, if there's anything just let me know! :)

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