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Alenkasestr [34]
4 years ago
12

What are the first four terms of the sequence shown below? an = n3 + n2

Mathematics
1 answer:
prisoha [69]4 years ago
8 0

Answer:

2, 12, 36, 80

Step-by-step explanation:

Substitute n = 1, 2, 3, 4 into the n th term formula, that is

a₁ = 1³ + 1² = 1 + 1 = 2

a₂ = 2³ + 2² = 8 + 4 = 12

a₃ = 3³ + 3² = 27 + 9 = 36

a₄ = 4³ + 4² = 64 + 16 = 80

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Answer:

Step-by-step explanation:

2x - 7 + 2x - 5 + 2x - 3 + 2x - 1 + 2x + 3 + 2x + 5 + 2x + 7   Combine like terms

16x / 8  = 48

2x = 48

x = 24

The range is defined as the largest number - the smallest number

The range is between 2x - 7 and 2x + 7

x = 24

The smallest number is 48 - 7 = 41

The largest number is 48 + 7 = 55

The range = 55 - 41 = 14

Why was the 2 in front of the x needed? It was to make sure that I could create an odd number.

Why did I subtract an odd number? That was to make sure that I could create odd numbers.

Why did I start with 2x - 7 and end up 8 terms later at 2x + 7?

So the numbers would cancel and I'd only be left with x's.

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3 years ago
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Answer:

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