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aleksandrvk [35]
2 years ago
5

The sequence 2, 3, 5, 6, 7, 10, … consists of

Mathematics
1 answer:
Kay [80]2 years ago
3 0

The 76th term is 86.

<h3>What is sequence?</h3>

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

Given:

2, 3, 5, 6, 7, 10, …

The sequence consists of all natural numbers which are neither perfect squares nor perfect cubes.

We can as well sum the number of squares and cubes in the range with the number of the required term i.e

Number of squares = 8 ( 4,9,16,25,36,49,64,81)

Number of cubes = 2 (8 and 27; excluding 64 which is as well a square)

Required term = 75

So, 8+2+75 = 85.

Hence, the 85th term counting from 2 ( i.e 86) is the 75th term.

Learn more about sequence here:

brainly.com/question/16614966

#SPJ1

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Is 3584 a term of the series 7+14+28+56........?
MrRa [10]

Answer:

yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = \frac{a_{2} }{a_{1} } = \frac{14}{7} = 2 , then

a_{n} = 7 (2)^{n-1}

Equate a_{n} to 3584 and solve for n

7 (2)^{n-1} = 3584 ( divide both sides by 7 )

2^{n-1} = 512 , that is

2^{n-1} = 2^{9}

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series

4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
juin [17]

Answer: (B) min = -14, max = -3

<u>Step-by-step explanation:</u>

The minimum is the y-value of the vertex of a positive (U-shaped) parabola. In the graph, the vertex is located at (4.5, -14). The y-value of the vertex is -14.

The maximum is the y-value of the vertex of a negative (∩-shaped) parabola. In the graph, the vertex is located at (1.5, -3). The y-value of the vertex is -3.

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3 years ago
Which would be the BEST type of map for finding the capital of New Mexico?
grin007 [14]

Answer:

I think it is Physical map but i may be wrong

Step-by-step explanation:

Political maps show how people have divided up the earth's surface. These maps show state and national boundaries, capitals, and large cities. Political maps use different colors to show different countries.

6 0
3 years ago
.............................answer
anastassius [24]

Answer:

30

Step-by-step explanation:

If w=6, you need to multiply 5 by 6 to get 30.

3 0
4 years ago
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