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Vedmedyk [2.9K]
3 years ago
6

Find the sum of the first 10 terms. 40,37,34,31,...

Mathematics
2 answers:
MArishka [77]3 years ago
3 0

Answer:

It seems each number is 3 less than the previous number.

We must sum these 10 numbers

40, 37, 34, 31, 28, 25, 22, 19, 16, 13

The sum would equal the average of the middle 2 numbers times 10.

(28 + 25) / 2 = 53 / 2 = 26.5

We multiply by 10 because there are 10 numbers and this equals

265

Step-by-step explanation:

Margaret [11]3 years ago
3 0

Answer:

40+37+34+31+28+25+22+19+16+13=265

Step-by-step explanation:

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------------------------------------------------------------------
Question
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\boxed { \frac{n+h}{5}  =  \frac{f+9}{9}}

------------------------------------------------------------------
Split the fraction on the left
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\boxed { \frac{n}{5} + \frac{h}{5}  = \frac{f + 9}{9}}

------------------------------------------------------------------
Take away h/5 from both sides
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\boxed { \frac{n}{5}  = \frac{f+9}{9} - \frac{h}{5}}

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Change the denominator to be the same
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\boxed { \frac{n}{5} = \frac{5f+45}{45} - \frac{9h}{45}}

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Put it into single fraction
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\boxed { \frac{n}{5} = \frac{5f+45-9h}{45} }

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Rearrange (This step may not be necessary)
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\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }


\bf \Longrightarrow \ Answer \ : \boxed {\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }}

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3 years ago
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