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3 years ago

Please help out with some of these.

Mathematics

1 answer:

nikdorinn [45]3 years ago

6 0

Answer:

1. 1/12

2. 1/8

3. 1/6

4. 1/6

5. 1/4

6. 1/8

7. 1/6

8. 1/8

9. 1/12

Step-by-step explanation:

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i was doing this task in math and I came across this: x-12x=0.88x . can someone plz explain why is this equal to this? I underst

valkas [14]

1x-12x=0.88x

11x=0.88x

-11x=0.88x-0.88x

-11.88x=0x

-11.88x=0

Isolate x

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2.5h-15=4h what does this equal

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2.5h - 15 = 4h. -15 = 1.5h. -10 = h. Your answer is h = -10

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Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

1. First 5 terms:

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

2. Sum of first 25 terms:

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

3. Type of sequence

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

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