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Arisa [49]
3 years ago
5

Find the sum of the first 90 terms of the sequence –4, –1, 2, 5, 8, ...

Mathematics
2 answers:
Aleks04 [339]3 years ago
8 0
Hello : 
-1-(-4) =2-(-1)=5-2=8-5=3     ( arhtmitic sequence   r= 3)
Un = U1+(n-1)r
U90 = -4+(90-1)(3)= 263
sum = n/2 (U1 +U90)
sum = 90/2(-4+263) = 11655
Juli2301 [7.4K]3 years ago
6 0

Answer:

11655 is correct

Step-by-step explanation:

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Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. How long is the bra
morpeh [17]

The complete question is;

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm

Answer:

60 cm. Option D is the correct answer

Step-by-step explanation:

From the image, the diagonals of the parallelogram bisect each other. Thus;

AE = EC and BE = ED

We are given that;

DE = 3y + 6 cm and BE = 5y - 10 cm, thus;

3y + 6 = 5y - 10

Rearranging, we have;

5y - 3y = 6 + 10

2y = 16

y = 16/2

y = 8 cm

The brace that bisects point B and D is BD. So, BD = BE + DE

So, BD = 5y - 10 + 3y + 6

BD = 8y - 4

Putting 8 for y to obtain;

BD = 8(8) - 4

BD = 64 - 4

BD = 60cm

8 0
3 years ago
ntervals of Hundredths (3.30)2 10.89 (3.31)2 10.96 (3.32)2 11.02 (3.33)2 11.09 (3.34)2 11.16 (3.35)2 11.22 (3.36)2 11.29 (3.37)2
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Answer:

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Step-by-step explanation:

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Answer:

I'm glad you asked!

Step-by-step explanation:

x = 1.So the starting number is 1.

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z = 1.So it is now 1 - 6+1.

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Answer:

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Step-by-step explanation:

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