Mathematics, 04.01.2020 06:31 aidenmanpig

Is the sum the sum of the arithmetic 1635?

Answers: 2

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Answers

Answer from: toricarter00

1199

Step-by-step explanation:

There are 22 terms in the sum:

23 + 26 + 29 + ... + 80 + 83 + 86 =

= (23 + 86) + (26 + 83) + ... + (53 + 56)

= 109 + 109 + ... + 109

= 11(109)

= 1199

Answer from: jzoda7318

ANSWER

1199

EXPLANATION

The given series is

$\sum_{n=9}^{30}(3n-4)$

To find the first term of this series, we put n=9 into the formula.

a = 3(9) - 4 = 23

To find the last term, we put n=30

l = 3(30) - 4 = 86

There are 22 terms from the 9th term to the 30th term

The sum of the consecutive n-terms of an arithmetic series is given by;

$S_n= \frac{n}{2} (a + l)$

We substitute n=22, a=23, and l=86 to get;

$S_ {22}= \frac{22}{2} (23 + 86)$

$S_ {22}= 11 \times 109$

$S_ {22}= 1199$

Answer from: Quest

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

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