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olga2289 [7]
2 years ago
7

In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number valu

e of N.
Mathematics
1 answer:
Alina [70]2 years ago
5 0

Answer: 2584

Step-by-step explanation:

We can find N with 2584 and 4181.

4181 - 2584

= 1597

We can also check our answer by adding 1597 and 987

1597 + 987

= 2584

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Strike441 [17]
What’s the expression?
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3 years ago
The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (
Rufina [12.5K]

Answer:

a) possible progressions are 5

b) the smallest and largest possible values of the first term are 16 and 82

Step-by-step explanation:

<u>Sum of terms:</u>

  • Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
  • S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
  • 2020 = 10(2a₁ + 19d)
  • 202 = 2a₁ + 19d

<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>

  • 202 = 2a₁ + 38k
  • 101 = a₁ + 19k

<u>Possible values of k= 1,2,3,4,5</u>

  • k = 1 ⇒ a₁ = 101 - 19 = 82
  • k = 2 ⇒ a₁ = 101 - 38 = 63
  • k = 3 ⇒ a₁ = 101 - 57 = 44
  • k = 4 ⇒ a₁ = 101 - 76 = 25
  • k = 5 ⇒ a₁ = 101 - 95 = 16

<u>As per above, </u>

  • a) possible progressions are 5
  • b) the smallest and largest possible values of the first term are 16 and 82
6 0
3 years ago
Simplify 18 - 2[x + (x - 5)].
MissTica
18 - 2[x + (x-5)]
First I would get rid of the inside parenthesis by distributing the + to everything inside and end up with;

18 - 2[x + x - 5]
Then I'd combine like terms inside the brackets
18 - 2[2x - 5]
Then I'd multiply what is inside the brackets by the -2
18 - 4x + 10
I'd combine like terms and end up with:

28 - 4x......or rewritten as -4x + 28
7 0
3 years ago
Help! Is the following relation a function?<br><br> Yes or no?
Veronika [31]

Answer:

no it is not a fuction

Step-by-step explanation:

8 0
2 years ago
The area of the triangle below is<br> ___ sq. units HELP ASAPPP
deff fn [24]

Answer:

D. 40

Step-by-step explanation:

Area of triangle: A = 1/2bh

We have <em>b </em>and <em>h</em> already, so simply plug it in:

A = 1/2(16)(5)

A = 8(5)

A = 40 units²

7 0
3 years ago
Read 2 more answers
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