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3 years ago

. Find the sum of the first 30 terms of the series:16 + 19 + 22 +......

Mathematics

2 answers:

zepelin [54]3 years ago

5 0

Answer:

1785

Step-by-step explanation:

16+19+22+25+28+31+34+37+40+43+46+49+52+55+58+61+64+67+70+73+76+79+82+85+88+91+94+97+100+103=1785

Bogdan [553]3 years ago

5 0

Answer:

<h3>The answer is 1785</h3>

Step-by-step explanation:

The above sequence is an arithmetic sequence

The sum of an nth term of an arithmetic sequence is written as

$\frac{n}{2} (2a + (n - 1)d)$

Where n is the number of terms

a is the first term

d is the common difference

From the question

n is 30

a is 16

d = 19 - 16 = 3

So the first 30 terms of the series is

$\frac{30}{2} (2(16) + (30 - 1) \times 3) \\ = 15(32 + 29 \times 3) \\ = 15(32 + 87) \\ = 15(119) \\ = 1785$

Hope this helps you.

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3 years ago

I need help on #11& #8

Musya8 [376]

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3 years ago

The number of students in an school building that have the flu after t days is given by the function

gulaghasi [49]

Step-by-step explanation:

$p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16$

$200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14$

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2 years ago

What is the radical form of the expression 432 ? PLEASE HELP!!!!!

oksano4ka [1.4K]

Answer:

12√3

Step-by-step explanation:

well first divide 432 by 3

that gives you 144

so you have 144×3

you then but them both in radicals

144 is a perfect square i.e 12×12=144

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therefore the answer is 12√3

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2 years ago

a rectangular room is 2meters longer than it is wide, and it's perimeter is 24 meters. find the dimension of the room

asambeis [7]

$2l + 2(l+2)=24 \\2l +2l+4=24 \\4l=20 \\\boxed{l=5}$

Length of the room is 5 m and width is 5 + 2 = 7 m.

Hope this helps.

r3t40

5 0

2 years ago

Read 2 more answers

. Find the sum of the first 30 terms of the series:16 + 19 + 22 +......​

. Find the sum of the first 30 terms of the series:16 + 19 + 22 +......