Set A= {0,3,8}

Mathematics

1 answer:

AleksandrR [38]2 years ago

3 0

I think the answer will be whole numbers

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Find a1, for the arithmetic series<br> with S14 = - 420 and d = -6.

faust18 [17]

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill$

$\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1$

8 0

3 years ago

XPLEASE HURRY!

Katarina [22]

The answer will be “b” because exponent means mutiply

8 0

2 years ago

Read 2 more answers

Mr. McGee mowed 4/5 of his lawn. His three sons finished the mowing. Each son mowed the same amount. How much of the lawn did ea

liubo4ka [24]

Answer:

1 fifteenth, or 1/15

Step-by-step explanation:

If there are 3 sons multiply the fraction by 3 and then you have 12/15 because 12/15 is equal to 4/5, so the remaining is 3 out of 15, so divide that between the 3 sons and boom, 1/15th per son.

5 0

3 years ago

Round 977.259856871 to 3 decimal places

Fofino [41]

You will want to round to 977.259

look at the number to the right of 9, it is 8, and 8 > 5. IF the number is 5 or greater, round up.

so your answer is 977.260

hope this helps

5 0

3 years ago

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Josiah weighed 210 pounds. After six months of changing his diet and adding exercise to his daily routine, he weighs 180 pounds.

expeople1 [14]

Answer: D .) 17% decrease

Step-by-step explanation:

I don't know how to anwser this but i had the same question and when I anwsered d i got it correct.

8 0

2 years ago