<span>10!/5! =10*9*8*7*6=30,240;;
If order is not considered, 10C5 =10!/5!5!=252 </span>
The first four terms of the sequence are 8,12,16 and 20.
<h3><u>
What is a Sequence?</u></h3>
- A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms).
- The length of the series is the number of elements (potentially infinite). In contrast to a set, the same items might appear more than once in a sequence at various points, and unlike a set, the order is important.
- A sequence can be described formally as a function from natural numbers (the positions of the sequence's elements) to the items at each of those positions.
- An indexed family, which is a function from an index set that may not be a set of numbers to another set of elements, can be thought of as a generalization of the idea of a sequence.
Given the function is f(n) = (2n+2)2
Now, we want first four terms, therefore, putting 1, 2, 3, 4 in the sequence we get:
f(1) = (2*1+2)2 = 8
f(2) = (2*2+2)2 = 12
f(3) = (2*3+2)2 = 16
f(4) = (2*4+2)2 = 20
Hence, The first four terms of the sequence are 8,12,16 and 20.
Know more about Sequence with the help of the given link:
brainly.com/question/21961097
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Answer:
it would be 1.09x10^4
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Shanice: 88
Greg: (88 - 4) ÷ 2 = 84 ÷ 2 = 42
Step-by-step explanation:
Let's translate the verbal language to algebraic language.
She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.
She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t
Total miles of her rides per week: 62.5 miles + 2.5t
She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85
Then, the situation is represented by this inequality:
2.5t + 62.5 ≥ 85
You can develop it and get to several equivalent inequalities, for example:
2.5t ≥ 85 - 62.5
2.5t ≥ 22.5
t ≥ 9
Any of the four forms are equivalent and a valid answer.
