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VikaD [51]
2 years ago
8

Hello , I need help please THANKYOU 100 POINTS

Mathematics
2 answers:
Gnesinka [82]2 years ago
8 0

Step-by-step explanation:

1)

Let x=larger number

y=smaller number

x+y=59

x-y=13

Now adding these two equations we get

2x=72

x=36

Now as x-y=13

y=x-13=36-13=23

y=23

Therefore the larger number is 36 and the smaller number is 23

(or else u could also write)

The numbers are 36 and 23

---------------------------------------------

2)

Let x=first number

y=Second number

x+y=15

2x-y=6

Now adding these two equations we get

3x=21

x=7

Now as x+y=15,

y=15-x=15-7=8

y=8

Therefore the first number is 7 and the second number is 8

-------------------------------------------

3)

Let x=Larger number

y=smaller number

x-y=3

x-3y=-11

Now on subtracting these two equations we get

2y=14

y=7

Now as x-y=3,

x=y+3=7+3=10

x=10

Therefore the larger number is 10 and the smaller number is 7

makvit [3.9K]2 years ago
5 0

Note:-First and last one has already been solved by me in your other two questions .Second one to be solved

#2

  • x+y=15--(1)
  • 2x-y=6--(2)

Add both

  • 3x=21
  • x=7

Put in first one

  • 7+y=15
  • y=8
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Answer:

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Step-by-step explanation:

If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.

Option A: (-1)²ⁿ is always +1.  So an =│an│and both series converge (absolutely convergent).

Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).

Option C: an = 1 / n³ isn't an alternating series.  So an =│an│and both series converge (p series with p > 1).  This is absolutely convergent.

Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series.  bn = 1 / (8 + n), which diverges.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

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3 years ago
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Answer:

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Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

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The explicit formula for an AP is

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Substitute a=-7 and d=3 in the above equation.

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3 years ago
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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!


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