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3 years ago

The larger of two numbers is 5 more than the smaller. The smaller number plus the larger equals 100. Find the number.

Mathematics

1 answer:

I am Lyosha [343]3 years ago

6 0

Answer:

Smaller number-47.5

Larger number-52.5

Step-by-step explanation:

We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation

x+x+5=100

100-5=95

2x=95

95/2=47.5

x=47.5

The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5

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First five term for An=n^2-2n

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Step-by-step explanation:

we will put n=1,2,3,4,5 to find first 5 terms of the sequence

Explicit formula for sequence is:

$a_n = n^2-2n$

Putting n=1

$a_1 = (1)^2-2(1)\\= 1-2\\= -1$

Putting n=2

$a_2 = (2)^2-2(2)\\= 4 - 4 \\=0$

Putting n=3

$a_3 = (3)^2-2(3)\\= 9-6\\= 3$

Putting n=4

$a_4 = (4)^2 - 2(4)\\= 16-8 \\= 8$

Putting n=5

$a_5 = (5)^2-2(5)\\= 25 - 10\\= 15$

Hence,

First 5 terms are: -1,0,3,8,15

Keywords: Arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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