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ASHA 777 [7]
3 years ago
12

What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624

The final answer here is choice C) -624
<span>
</span>
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1000÷4×719394726267-481626
Andrews [41]
179,848,681,085,124

Pretty sure that's it
6 0
3 years ago
Whats the slope using rise/run? <br> thank you
LenKa [72]

Answer:

answer is 7

Step-by-step explanation:

one point is at (1,3) and the other at (0,-4)

to get slope y2-y1 / x2-x1

so -4-3 / 0-1

-7/-1

so answer is 7

4 0
3 years ago
In triangle WXY , angle X cong angle W YW = 19 and WX = 15 15. Find the length of XY.
ivolga24 [154]

Answer:

<h3>19</h3>

Step-by-step explanation:

Given the triangle WXY, with angle X and W to be equal, this shows that the triangle is an isosceles triangle. An isosceles triangle is the one which has two of its sides and its base angle to be the same.

If <X = <W, then The sides YW = XY

That is the other two sides asides from the side XW are equal.

Since YW = 19

Hence the measure of the side XY will also be 19

YW = XY = 19

4 0
3 years ago
What value of x makes the equation 1/9x+6=8 true
Mademuasel [1]

Answer:

18

Step-by-step explanation:

Subtract 6 from both sides so the equation becomes 1/9x=2. Multiply by the reciprocal on both sides (9)1/9x=2(9).

This cancels out to x=18

6 0
3 years ago
One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers. Which of the
worty [1.4K]
Let, the first (smaller) number = x
Larger number = 8x
Then, 8x - x = 70
7x = 70
x = 70/7
x = 10
& 8(10) = 80

In short, Your Numbers would be, 10 & 80

Hope this helps!
4 0
3 years ago
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